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All Textbook Solutions for Finite Mathematics and Applied Calculus (MindTap Course List)

23E 24E 25E 26E 1E 2E 3E 4E 5E 6E 7E 8E 9E 10E 11E 12E 13E 14E 15E 16E 17E 18E 19E 20E In Exercises 14, complete the given tables. Exponential Form 102=100 43=64 44=256 0.450=1 81/2=22 43=164 Logarithmic Form 2E 3E 4E 5E 6E 7E 8E 9E 10E 11E 12E 13E 14E 15E 16E 17E 18E 19E 20E 21E 22E 23E 24E 25E 26E 27E 28E 29E 30E 31E 32E 33E 34E 35E 36E 37E 38E 39E 40E 41E 42E 43E 44E 45E 46E 47E 48E 49E 50E 51E 52E 53E 54E 55E 56E In Exercises 1-4, use the graph of the function f to find approximations of the given values. a. f(2) b. f(0) c. f(2) d. f(2)f(2)In Exercises 1-4, use the graph of the function f to find approximations of the given values. a. f(2) b. f(0) c. f(2) d. f(2)f(2)3RE 4RE 5RE 6RE 7RE 8RE 9RE 10RE 11RE 12RE 13RE 14RE 15RE 16RE 17RE 18RE 19RE 20RE 21RE 22RE 23RE 24RE 25RE 26RE 27RE 28RE 29RE 30RE 31RE 32RE Internet Advertising Several months ago, John O'Hagan investigated the effect on the popularity of OHaganBooks.com of placing banner ads at well-known Internet portals. The following model was obtained from available data: v(c)=0.000005c2+0.085c+1,750 newvisits per day, where c is the monthly expenditure on banner ads. a. John OHagan is considering increasing expenditure on banner ads from the current level of $5,000 to $6,000 per month. What will be the resulting effect on website popularity? b. According to the model, would the website popularity continue to grow at the same rate if he continued to raise expenditure on advertising $1,000 each month? Explain. c. Does this model give a reasonable prediction of traffic at expenditures larger than $8,500 per month? Why or why not?34RE Internet Advertising When OHaganBooks.com actually went ahead and increased Internet advertising from $5,000 per month to $6,000 per month (see Exercise 33) it was noticed that the number of new visits increased from an estimated 2,050 per day to 2,100 per day. Use this information to construct a linear model giving the average number v of new visits per day as a function of the monthly advertising expenditure c. a. What is the model? b. Based on the model, how many new visits per day could be anticipated if OHaganBooks.com budgets $7,000 per month for Internet advertising? c. The goal is to eventually increase the number of new visits to 2,500 per day. Based on the model, how much should be spent on Internet advertising to accomplish this?36RE 37RE 38RE 39RE Break-Even Analysis OHaganBooks.com also generates revenue through its oBooks e-book service. Author royalties and copyright fees cost the company an average of $4 per novel, and the monthly cost of operating and maintaining the service amounts to $900 per month. The company is currently charging customers $5.50 per novel. a. What are the associated cost, revenue, and profit functions? b. How many novels must be sold per month to breakeven? c. If the charge is lowered to $5.00 per novel, how many books must be sold to break even?Demand and Profit To generate a profit from its new oTunes service, OHaganBooks.com needs to know how the demand for music albums depends on the price it charges. During the first week of the service, it was charging $7 per album and sold 500. Raising the price to $9.50 had the effect of lowering demand to 300 albums per week. a. Use the given data to construct a linear demand equation. b. Use the demand equation you constructed in part (a) to estimate the demand if the price were raised to $12 per album. c. Using the information on cost given in Exercise 39, determine which of the three prices ($7, $9 .50, and $12) would result in the largest weekly profit, and the size of that profit.42RE 43RE 44RE In Exercises 1-4, evaluate each expression based on the following table. [Hint: See Quick Example 1.] x 3 2 1 0 1 2 3 f(x) 1 2 4 2 1 0.5 0.25 a. f(0) b. f(2)In Exercises 1-4, evaluate each expression based on the following table. [Hint: See Quick Example 1.] x 3 2 1 0 1 2 3 f(x) 1 2 4 2 1 0.5 0.25 a. f(1) b. f(1)In Exercises 1-4, evaluate each expression based on the following table. [Hint: See Quick Example 1.] x 3 2 1 0 1 2 3 f(x) 1 2 4 2 1 0.5 0.25 a. f(2)f(2) b. f(1)f(2) c. 2f(1)4E In Exercises 5-8, use the graph of the function f to find approximations of the given values. [HINT: See Example 1.] a. f(1) b. f(2) c. f(3) d. f(5) e. f(3)f(2) f. f(32)In Exercises 5-8, use the graph of the function f to find approximations of the given values. [HINT: See Example 1.] a. f(1) b. f(2) c. f(3) d. f(5) e. f(3)f(2) f. f(32)In Exercises 5-8, use the graph of the function f to find approximations of the given values. [HINT: See Example 1.] a. f(1) b. f(1) c. f(3) d. f(3)f(1)31 In Exercises 5-8, use the graph of the function f to find approximations of the given values. [HINT: See Example 1.] a. f(3) b. f(1) c. f(1) d. f(3)f(1)31 In Exercises 9-12, say whether or not f(x) is defined for the given values of x. If it is defined, give its value. [Hint: See Quick Example 3.] f(x)=x1x2, with its natural domain a. x=4 b. x=0 c. x=1 In Exercises 9-12, say whether or not f(x) is defined for the given values of x. If it is defined, give its value. [Hint: See Quick Example 3.] f(x)=2xx2, with domain [2,+) a. x=4 b. x=0 c. x=1 In Exercises 9-12, say whether or not f(x) is defined for the given values of x. If it is defined, give its value. [Hint: See Quick Example 3.] f(x)=x+10, with domain [10,0) a. x=0 b. x=9 c. x=10 12E Given f(x)=4x3, find a. f(1) b. f(0) c. f(1) d. f(y) e. f(a+b) [Hint: See Example 1]14E 15E 16E Given g(s)=s2+1s, find a. g(1) b. g(1) c. g(4) d. g(x) e. g(s+h) f. g(s+h)g(s)18E 19E 20E 21E 22E 23E 24E In Exercises 25 and 26, match the functions to the graphs. (The gridlines an 1 unit apart.) Using technology to draw the graphs is suggested but not required. a. f(x)=x(1x1) b. f(x)=x(1x1) c. f(x)=x(0x4) d. f(x)=x+1x2(0x4) e. f(x)=|x|(1x1) f. f(x)=x1(1x1)26E 27E 28E 29E 30E 31E 32E 33E 34E In Exercises 31-36, sketch the graph of the given/unction, evaluate the given expressions, and then use technology to duplicate the graphs. Give the technology formula. [HINT: See Example 2.) f(x)={xif1x0x+1if0x2xif2x4 a. f(0) b. f(1) c. f(2) d. f(3) [Hint: See Example 3]36E In Exercises 37-40, find and simplify (a) f(x+h)f(x) (b) f(x+h)f(x)h f(x)=x2 38E 39E 40E 41E Offshore Crude Oil Production: Mexico The following table shows daily offshore crude oil production by Pemex, Mexicos national oil company, for 2008-2014 (t=0represents2008):6 Year t(year since 2008) 0 1 2 3 4 5 6 Crude Oil Production s(t)(million barrels/day) 2.25 2.01 1.94 1.90 1.90 1.90 1.85 a. Find s(0),s(2) and s(4). Interpret your answers. b. Find s(4)s(0). Interpret your answer.Social Website Popularity: Twitter The following table shows the popularity of Twitter among social media sites as rated by StatCounter.com (tisthenumberofyearssincethestartof2008):7 Year t(year since start of 2008) 1 2 4 5 Twitter Popularity p(t)(%) 7 6 6 7 a. Represent p graphically, and then use your graph to estimate p(4.5). Interpret your answer. b. One of the following models fits the data almost exactly. Which model is it? (A) p(t)=0.4t34t2+12.5t+15 (B) p(t)=0.33t2+2t8.7 (C) p(t)=0.4t3+4t212.5t+15 (D) p(t)=0.33t22t+8.7 Social Website Popularity: Delicious The following table shows the popularity of Delicious among social media sites as rated by StatCounter.com (tisthenumberofyearssincethestartof2008):8 Year t(year since start of 2008) 1 2 3 4 5 Delicious Popularity p(t)(%) 0.4 0.2 0.1 0.05 0.02 a. Represent p graphically, and then use your graph to estimate p(3.5). Interpret your answer. b. One of the following models fits the data exactly. Which model is it? (A) p(t)=0.8(2t) (B) p(t)=0.8(2t) (C) p(t)=0.02t20.2t+0.6 (D) p(t)=0.02t2+0.2t0.6 Housing Starts Exercises 45-48 refer to the following graph, which shows the number f(t) of housing starts for single family homes in the United States each year from 2000 through 2014 (t=0represents2000,andf(t)isinthousandsofunits):9 Estimate f(7),f(14), and f(9.5). Interpret your answers.Housing Starts Exercises 45-48 refer to the following graph, which shows the number f(t) of housing starts for single family homes in the United States each year from 2000 through 2014 (t=0represents2000,andf(t)isinthousandsofunits):9 Estimate f(3),f(6), and f(8.5). Interpret your answers.Housing Starts Exercises 45-48 refer to the following graph, which shows the number f(t) of housing starts for single family homes in the United States each year from 2000 through 2014 (t=0represents2000,andf(t)isinthousandsofunits):9 Estimate f(73) and f(7)f(3). Interpret your answers.48E 49E 50E Net Income: Casual Apparel In the following graph, n(t) is Abercrombie Fitchs approximate net income, in millions of dollars, for the year ending at time t (tistimeinyearssinceDecember2004):10 a. Estimate n(2),n(4), and n(4.5) to the nearest 25. Interpret your answers. b. At approximately which value of t in the interval [3,8] is n(t) increasingmost rapidly? Interpret your answer. c. At approximately which value of t in the interval [3,8] is n(t) decreasing most rapidly? Interpret your answer.52E 53E Funding for NASA: 1966-2015 The percentage of the U.S. federal budget allocated to NASA from 1966 to 2015 can be approximated by p(t)=0.03+5t0.6 percentage points (t1) (tistimeinyearssince1965).13 The following graph shows the data with the model: a. Find an appropriate domain of p. Is [0,50] an appropriate domain? Why or why not? b. Compute p(40) accurate to two decimal places. What does the answer say about the budget allocation to NASA? c. If the model is extrapolated to larger and larger values of t, what does it suggest about long-term financing of NASA?Acquisition of Language The percentage p(t) of children who can speak in at least single words by the age of t months can be approximated by the equation14 p(t)=100(112,200t4.48)(t8.5). a. Give a technology formula for p. b. Graph p for 8.5t20 and 0p100. c. Create a table of values of p for t=9,10,,20 (rounding answers to one decimal place). d. What percentage of children can speak in at least single words by the age of 12 months? e. By what age are 90% or more children speaking in at least single words?Acquisition of Language The percentage p(t) ofchildren who can speak in sentences of five or more words by the age of t months can be approximated by the equation15 p(t)=100(15.271017t12)(t30) a. Give a technology formula for p. b. Graph p for 30t45 and 0p100. c. Create a table of values of p for t=30,31,,40 (rounding answers to one decimal place). d. What percentage of children can speak in sentences of five or more words by the age of 36 months? e. By what age are 75% or more children speaking in sentences of five or more words?57E Processor Speeds The processor speed, in megahertz (MHz), of Intel processors during the period 1970-2000 could be approximated by the following function of time t in years since the start of 1970:17 v(t)={0.12t2+0.04t+0.2if0t121.1(1.22)tif12t26400t10,200if26t30 a. Evaluate v(2),v(12) and v(28). Interpret the results. b. Write down a technology formula for v. c. Use technology to sketch the graph of u and to generate a table of values for v(t) with t=0,2,,30. (Round values to two significant digits.) d. When, to the nearest year, did processor speeds reach 500MHz?59E 60E 61E 62E 63E Complete the following: The equation notation for C(t)=0.34t2+0.1t is _____________.65E 66E 67E 68E True or false? Every function can be specified numerically. Explain.70E Why is the following assertion false? If f(x)=x21, then f(x+h)=x2+h1 .Why is the following assertion false? If f(2)=2 and f(4)=4, then f(3)=3 .73E 74E 75E 76E Exercises 1-8 are based on the following functions: f(x)=x2+1 with domain (,+) g(x)=x1 with domain (,+) h(x)=x+4 with domain [10,+) u(x)=x+10 with domain [10,0) v(x)=10x with domain [0,10] In each exercise, (a) write a formula for the indicated function, (b) give its domain, and (c) specify its value at the given point a, if defined s=f+g;a=3 2E 3E 4E Exercises 1-8 are based on the following functions: f(x)=x2+1 with domain (,+) g(x)=x1 with domain (,+) h(x)=x+4 with domain [10,+) u(x)=x+10 with domain [10,0) v(x)=10x with domain [0,10] In each exercise, (a) write a formula for the indicated function, (b) give its domain, and (c) specify its value at the given point a, if defined q=vg;a=1 Exercises 1-8 are based on the following functions: f(x)=x2+1 with domain (,+) g(x)=x1 with domain (,+) h(x)=x+4 with domain [10,+) u(x)=x+10 with domain [10,0) v(x)=10x with domain [0,10] In each exercise, (a) write a formula for the indicated function, (b) give its domain, and (c) specify its value at the given point a, if defined q=gv;a=1 Exercises 1-8 are based on the following functions: f(x)=x2+1 with domain (,+) g(x)=x1 with domain (,+) h(x)=x+4 with domain [10,+) u(x)=x+10 with domain [10,0) v(x)=10x with domain [0,10] In each exercise, (a) write a formula for the indicated function, (b) give its domain, and (c) specify its value at the given point a, if defined m=5f;a=1 8E Resources You now have 200 music files on your hard drive, and this number is increasing by 10 music files each day. Find a mathematical model for this situation. [HINT: See Quick Example 1.]10E Soccer My rectangular soccer field site has a length equal to twice its width. Find its area in terms of its length x. [HINT: See Quick Example 3.]Cabbage My rectangular cabbage patch has a total area of 100 square feet. Find its perimeter in terms of the width x.Vegetables I want to fence in a square vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing for the north and south sides costs only $2 per foot. Find the total cost of the fencing as a function of the length of a side x.Orchids My square orchid garden abuts my house so that the house itself forms the northern boundary. The fencing for the southern boundary costs $4 per foot, and the fencing for the east and west sides costs $2 per foot. Find the total cost of the fencing as a function of the length of a side x.15E Recreation You spend 5 hours per day on Saturdays and Sundays watching movies but only 2 hours per day during the week. Model the number of hours h you watch movies as a function of the day of the week n (with n=1 being Sunday).17E 18E Break-Even Analysis Your college newspaper, The Collegiate Investigator, has fixed production costs of $70 per edition and marginal printing and distribution costs of 40 per copy. The Collegiate Investigator sells for 50 per copy. a. Write down the associated cost, revenue, and profit functions. [HINT: See Examples 1 and 2.] b. What profit (or loss) results from the sale of 500 copies of The Collegiate Investigator? c. How many copies should be sold to break even?Break-Even Analysis The Audubon Society at Enormous State University (ESU) is planning its annual fund-raising Eat-a-thon, The society will charge students 50 per serving of pasta. The only expenses the society will incur are the cost of the pasta, estimated at 15 per serving, and the $350 cost of renting the facility for the evening. a. Write down the associated cost, revenue, and profit functions. b. How many servings of pasta must the Audubon Society sell to break even? c. What profit (or loss) results from the sale of 1,500 servings of pasta?21E Break-Even Analysis Gymnast Clothing also manufactures expensive soccer cleats for sale to college bookstores in runs of up to 500. Its cost (in dollars) for a run of x pairs of cleats is C(x)=3,000+8x+0.1x2(0x500). Gymnast Clothing sells the cleats at $120 per pair. Find the revenue and profit functions. How many pairs of cleats should Gymnast Clothing manufacture to make a profit?Break-Even Analysis: School Construction Costs The cost, in millions of dollars, of building a two-story high school in New York State was estimated to be C(x)=1.7+0.12x0.0001x2(20x400), where x is the number of thousands of square feet.21 Suppose that you are contemplating building a for-profit two story high school and estimate that your total revenue will be $0.1 million per thousand square feet. What is the profit function? What size school should you build to break even?Break-Even Analysis: School Construction Costs The cost, in millions of dollars, of building a three-story high school in New York State was estimated to be C(x)=1.7+0.14x0.0001x2(20x400), where x is the number of thousands of square feet.22 Suppose that you are contemplating building a for-profit three story high school and estimate that your total revenue will be $0.2 million per thousand square feet. What is the profit function? What size school should you build to break even?Profit Analysis: Aviation The hourly operating cost of a Boeing 747-100, which seats up to 405 passengers, is estimated to be23 $5,132. If an airline charges each passenger a fare of $100 per hour of flight, find the hourly profit P it earns operating a 747-100 as a function of the number of passengers x. (Be sure to specify the domain.) What is the least number of passengers it must carry to make a profit? [HINT: The cost function is constant (Variable cost = 0).]Profit Analysis: Aviation The hourly operating cost of a McDonnell Douglas DC 10-10, which seats up to 295 passengers, is estimated to be24 $3,885. If an airline charges each passenger a fare of $100 per hour of flight, find the hourly profit P it earns operating a DC 10-10 as a function of the number of passengers x. (Be sure to specify the domain.) What is the least number of passengers it must carry to make a profit? [HINT: The cost function is constant (Variable cost = 0).]Break-Even Analysis (based on a question from a CPA exam) The Oliver Company plans to market a new product. Based on its market studies, Oliver estimates that it can sell up to 5,500 units in 2005. The selling price will be $2 per unit. Variable costs are estimated to be 40% of total revenue. Fixed costs are estimated to be $6,000 for 2005. How many units should the company sell to break even?28E 29E 30E Break-Even Analysis: Organized Crime The organized crime boss and perfume king Butch (Stinky) Rose has daily overheads (bribes to corrupt officials, motel photographers, wages for hit men, explosives, and so on) amounting to $20,000 per day. On the other hand, he has a substantial income from his counterfeit perfume racket: He buys imitation French perfume (Chanel N=o22.5 ) at $20 per gram, pays an additional $30 per 100 grams for transportation, and sells the perfume via his street thugs for $600 per gram. Specify Stinkys profit function, P(x), where x is the quantity (in grams) of perfume he buys and sells, and use your answer to calculate how much perfume should pass through his hands per day in order that he break even.Break-Even Analysis: Disorganized Crime Butch (Stinky) Roses counterfeit Chanel N=22.5 racket has run into difficulties: It seems that the authentic Chanel N=o22.5 perfume is selling for less than his counterfeit perfume. However, he has managed to reduce his fixed costs to zero, and his overall costs are now $400 per gram plus $30 per gram transportation costs and commission. (The perfume's smell is easily detected by specially trained Chanel Hounds, and this necessitates elaborate packaging measures.) He therefore decides to sell the perfume for $420 per gram to undercut the competition. Specify Stinkys profit function, P(x), where x is the quantity (in grams) of perfume he buys and sells, and use your answer to calculate how much perfume should pass through his hands per day in order that he break even. Interpret your answer Demand: E-Readers The demand for Amazon's Kindle e-reader can be approximated by q(p)=760p1 million units per year (60p400), where p is the price charged by Amazon.25 a. Graph the demand function. b. What is the result on demand if the unit price is increased from $100 to $200? [HINT: See Example 3.] c. According to the graph in part (a), if the price is $200 and successively increases in $10 increments, then the demand (A) Increases at a greater and greater rate. (B) Decreases at a greater and greater rate. (C) Increases at a smaller and smaller rate. (D) Decreases at a smaller and smaller rate. (E) Increases at the same rate. (F) Decreases at the same rate.Demand for Monorail Service: Mars The demand for monorail service on the Utarek monorail, which links the three urbynes (or districts) of Utarek on Mars, can be approximated by q(p)=7.5+30p million rides per day (3p8), where p is the cost per ride in zonars (Z).26 a. Graph the demand function. b. What is the result on demand if the cost per ride is decreased from Z5.00 to Z3.00? c. If the demand function is extrapolated, what does its graph suggest will be the effect of increasing the price to extremely large values?35E 36E Equilibrium Price: Skateboards The demand for your hand-made skateboards, in weekly sales, is q=3p+700 if the selling price is $p. You are prepared to supply q=2p500 skateboards per week at the price $p. At what price should you sell your skateboards so that there is neither a shortage nor a surplus? [HINT: See Quick Example 8.]Equilibrium Price: Skateboards The demand for your factory-made skateboards, in weekly sales, is q=5p+50 if the selling price is $p. If you are selling them at that price, you can obtain q=3p30 skateboards per week from the factory. At what price should you sell your skateboards so that there is neither a shortage nor a surplus?Equilibrium Price: Cell Phones Worldwide quarterly sales of Nokia cell phones were approximately q=p+156 million phones when the wholesale price29 was $p. a. If Nokia was prepared to supply q=4p394 million phones per quarter at a wholesale price of $p, what would have been the equilibrium price? b. The actual wholesale price was $105 in the fourth quarter of 2004. Estimate the projected shortage or surplus at that price. [HINT: See Quick Example 8 and also Example 4.]Equilibrium Price: Cell Phones Worldwide annual sales of all cell phones were approximately million phones when the wholesale price30 was $p. a. If manufacturers were prepared to supply q=14p800 million phones per year at a wholesale price of $p, what would have been the equilibrium price? b. The actual wholesale price was projected to be $80 in the fourth quarter of 2008. Estimate the projected shortage or surplus at that price.Demand: E-Readers The demand for Amuons Kindle e-reader can be approximated by q=760p1 million units per year (60p400), where p is the price charged by Amazon.31 Assume that Amazon is prepared to supply q=0.019p1 million units per year (60p400) at a price of $p per unit. a. Calculate the equilibrium price and equilibrium demand. b. Graph the demand and supply functions to confirm your answer in part (a) graphically. c. Estimate, lo the nearest 0.1 million units, the surplus or shortage of Kindle e-readers if the price is set at $72.42E Toxic Waste Treatment The cost of treating waste by removing PCPs goes up rapidly as the quantity of PCPs removed goes up. Here is a possible model: C(q)=2,000+100q2, where q is the reduction in toxicity (in pounds of PCPs removed per day) and C(q) is the daily cost (in dollars) of this reduction. a. Find the cost of removing 10 pounds of PCPs per day. b. Government subsidies for toxic waste cleanup amount to S(q)=500q where q is as above and S(q) is the daily dollar subsidy. The net cost function is given by N=CS. Give a formula for N(q), and interpret your answer. c. For N(20), and interpret your answer.44E Spending on Corrections in the 1990s The following table shows the annual spending by all states in the United States on corrections:33 Year t (year since 1990) 0 2 4 6 7 Spending ($ billion) 16 18 22 28 30 a. Which of the following functions best fits the given data? (Warning: None of them fits exactly, but one fits more closely than the others.) [HINT: See Example 5.] (A) S(t)=0.2t2+t+16 (B) S(t)=0.2t2+t+16 (C) S(t)=t+16 b. Use your answer to pan (a) to predict spending on corrections in 1998, assuming that the trend continued.46E 47E 48E 49E 50E 51E 52E 53E 54E Investments In August 2013, E*TRADE Financial was offering only 0.05% interest on its online checking accounts, with interest reinvested monthly.39 Find the associated exponential model for the value of a $5,000 deposit after t years. Assuming that this rate of return continued for 7 years, how much would a deposit of $5,000 in August 2013 be worth in August 2020? (Answer to the nearest $1.) [HINT: See Quick Example 8.]56E 57E 58E Carbon Dating A fossil originally contained 104 grams of carbon 14. Refer to the formula for C(t) inExample 7 and estimate the amount of carbon 14 left in the sample after 10,000 years, 20,000 years, and 30,000 years. [HINT: See Example 7.]60E 61E 62E Radium Decay The amount of radium 226 remaining in a sample that originally contained A grams is approximately C(t)=A(0.999567)t where t is time in years. a. Find, to the nearest whole number, the percentage of radium 226 left in an originally pure sample after 1,000 years, 2,000 years, and 3,000 years. b. Use a graph to estimate, to the nearest 100 years, when one half of a sample of 100 grams will have decayed.64E If the population of the lunar station at Clavius is given by P=200+30t, where t is time in years since the station was established, then the population is increasing by ________ per year.66E 67E 68E 69E 70E 71E Complete the following sentence: In a linear cost function, the marginal cost is the ________.73E What would happen to the price of a certain commodity if the demand was always greater than the supply? Illustrate with a demand and supply graph.75E 76E If f and g are functions with f(x)g(x) for every x, what can you say about the values of the function fg?78E 79E 80E In Exercises 1-6, a table of values for a linear function is given. Fill in the missing value and calculate m in each case. x 1 0 1 y 5 8 In Exercises 1-6, a table of values for a linear function is given. Fill in the missing value and calculate m in each case. x 1 0 1 y 1 3 3E 4E 5E 6E In Exercises 7-10, first find f(0), if not supplied, and then find the equation of the given linear function x 2 0 2 4 f(x) 1 2 3 4 8E 9E 10E In Exercises 11-14, decide which of the two given functions is linear, and find its equation. [HINT: See Example 1.] x 0 1 2 3 4 f(x) 6 10 14 18 22 g(x) 8 10 12 16 22 In Exercises 11-14, decide which of the two given functions is linear, and find its equation. [HINT: See Example 1.] x 10 0 10 20 30 f(x) 1.5 0 1.5 2.5 3.5 g(x) 9 4 1 6 11 13E 14E 15E 16E In Exercises 15-24, find the slope of the given line if it is defined. y=x+16 18E In Exercises 15-24, find the slope of the given line if it is defined. 3x+1=0 20E

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