Concept explainers
For Exercises 1-14,
a. Write the domain.
b. Write the range.
c. Find the
d. Find the
e. Determine the asymptotes if applicable.
f. Determine the intervals over which the function is increasing.
g. Determine the intervals over which the function is decreasing.
h. Match the function with its graph.
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
PRECALCULUS (LL) W/ALEK ACCESS PKG
Additional Math Textbook Solutions
Precalculus (10th Edition)
Calculus and Its Applications (11th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (2nd Edition)
- Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable x, that gives the amount of money, y, you will earn for working x hours in one week. b. Use the function rule you have written in part (a) to complete Table 4. c. Construct a line graph from the information in Table 4. d. State the domain and range of this function.arrow_forwardFor groups of 60 or more people, a charter bus company determines the rate per person according to the formula Rate=100.05n60,n60 where the rate is given in dollars and n is the number of people. (a) Write the revenue R as a function of n. (b) Use a graphing utility to graph the revenue function. Use the graph to approximate the number of people that will maximize the revenue.arrow_forwardSuppose that a company has just purchased a new computer for $2400. The company chooses to depreciate using the straight-line method for 4 years? (a) Write a linear function that expresses the book value V of the computer as a function of its age x. (b) What is the domain of the function found in part (a)? (c) Graph the linear function. (d) What is the book value of the computer after 2 years? (e) When will the computer have a book value of $600?arrow_forward
- Attached is the graph of the function g(x) = |x| What would the graph of kg(x) when -4 < k < -1 look like?arrow_forwardA company is planning to manufacture mountain bikes. The fixed monthly cost will be $100,000 and it will cost $100 to produce each bicycle. Solve; a. Write the cost function, C, of producing x mountain bikes. b. Write the average cost function, C*, of producing x mountain bikes. c. Find and interpret C*(500), C*(1000), C*(2000), and C*(4000). d. What is the horizontal asymptote for the graph of the average cost function, C*? Describe what this means in practical terms.arrow_forward1. Find a formula for the function whose graph consists of the line segment from the point (−4,3) to the point (−2,0) and the lower half of the circle centered at the origin with radius 2. 2. If the domain of the function ?=?(?) equals (−1,5]∪[8,10], what is the domain of the new function ?=5?(?+3)−20? Explainarrow_forward
- a. When is the function represented by the graph increasing? That is, when is the motorcycle’s speed increasing? Select all that apply. Answer choices: 1) Between 0 minutes and 2 minutes 2) Between 2 minutes and 4 minutes 3) Between 4 minutes and 5 minutes 4) Between 5 minutes and 6 minutes Question 2 b. When is the function represented by the graph decreasing? That is, when is the motorcycle’s speed decreasing? Select all that apply. Answer choices: 1) Between 0 minutes and 2 minutes 2) Between 2 minutes and 4 minutes 3) Between 4 minutes and 5 minutes 4) Between 5 minutes and 6 minutes Question 3 c. When is the function represented by the graph constant? That is, when is the motorcycle’s speed constant. Select all that apply. Answer choices: 1) Between 0 minutes and 2 minutes 2) Between 2 minutes and 4 minutes 3) Between 4 minutes and 5 minutes 4) Between 5 minutes and 6 minutesarrow_forwardAt what interval is the graph increasing and decreasing. The question is complete.arrow_forwardWhen given the equation for a function, how can you determinewhere it is increasing and where it is decreasing?arrow_forward
- A2. Ms. Whitmell says that the odd degree function she's looking at has a domain of {x∈ℝ} and {y∈ℝ}. If she solves for the turning points of the function, will that change the values for the domain or range Question 1 options: Yes, it will affect the domain Yes, it will affect the range Yes, it will affect the domain and the range No, it will affect neither the domain nor the rangearrow_forwardA T-shirt manufacturer is planning to expand its workforce. It estimates that the number of T-shirts produced by hiring x new workers is given by T(x)=−0.75x4+9x3, 0≤x≤9. When is the rate of change of T-shirt production increasing and when is it decreasing?( Type your answer in interval notation.) What is the point of diminishing returns and the maximum rate of change for T-shirt production? Graph T and T′ on the same coordinate system.arrow_forwardThe business manager of a 90 unit apartment building is trying to determine the rent to be charged. From past experience with similar buildings, when rent is set at $400, all the units are full. For every $20 increase in rent, one additional unit remains vacant. What rent should be charged for maximum total revenue? 1. What is the maximum total revenue? 2. What is the formula for revenues R after x $20 price hikes in the apartment building? 3. Graph the function 4. Find the maximum revenue (or income) of the apartment building. 5. What is the rent that coincides with this maximum revenue? 6. What is the outcome of the rent hike of $20 results in 2 additional vacancies instead of 1 additional vacancy? Recalculate questions 3, 5, 6 for this new scenario.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillTrigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage