2.5- 2.4- 2.3- 2.2- 2.1- 2.0- 1.9- 1.8- 1.7- 1.6- 1.5- 1.4- 1.3- 1.2- 1.1 '91 '93 '95 '97 '99 '01 '03 '05 '07 '09 Number of children (in millions)

Q: A culture starts with 8600 bacteria. After 1 hour the count is 10,000.(a) Find a function that…

A:

Q: A taxi company in Missouri charges a flat rate of $7.00 for the first ¾ mile, then a rate of $0.80…

A: Given that: Flate rate =$7.0 for the first 3/4 mile.Additional rate of $0.80 /mile for distance…

Q: Consider the graph of the function f. f(x) 10 -5 10 10 10 K

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Q: The Technology Center bought a fax machine for $625.  The fax machine depreciates at a rate of $25…

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Q: Consider the graph of the one-to-one function shown in the figure below. 10 y 8 6 4 2 2 4 6 8 10 X

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Q: The graphs of two functions f and g are shown below. 3 3

A: The given graph is:

Q: The graph shown most accurately represents which of the following functions? 6. 7 9. 5 7 8 9

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Q: Identify the parent function of the function whose graph is shown below. 7 6 + 4 2 1 + + -8 -7 -6 -5…

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Q: Given the graph of the function, what is its domain? 1 -2 -1 -4

A: Domain :- all the values of x where function is defined

Q: Consumer expenditures, in millions of dollars, on all types of books in the United States for the…

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Q: The revenue (in billions of dollars) from artificial intelligence for enterprise applications in a…

A: The revenue from AI for enterprise applications in a country for the year from 2016 to 2027 cab be…

Q: (-3 g(x)={-1 if -25xs2 (2 x<-2 2<x 10.

A: The given function is                           gx=-3,   x&lt;-2-1,   -2≤x≤2   2,    2&lt;x We have…

Q: Give an example of a function with a finite number of elements in the domain, but a number over a…

A: Assume that, the domain of the function is a set of all people whose birthday is same to you (month…

Q: The following graph shows the average annual college tuition costs (tuition and fees) for a year at…

A: The tuition for a private college is approximated by the function f(x)=650x2+3000x+12,000.a) The…

Q: Find the open intervals where the function graphed below is a) increasing, or b) decreasing. 10- 10…

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Q: A salesperson makes a base salary of $1000 per month. Once he reaches $10,000 in total sales, he…

A: I am attaching image so that you understand each and every step.

Q: Consider the graph of a function, f(x), shown below. 4- 3- 2- 6. 7 -1– -2-

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Q: The following graph show the average annual college tution costs (tuition and fees) for a year at a…

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Q: Write a function in any form that would match the graph shown below. 500 400 300 200 100 -10 -8 -6…

A: zeroes: x values where the graph is in contact with x axis. even/odd multiplicity: If the graph…

Q: Hank started a savings account in June of 2002. On June 2006, he had $3,800. On June 2014, he had…

A: Given, Hank started a savings account in june of  2002 .  On june 2006 , he had $ 3800  On june…

Q: A bacteria culture starts with 20000 bacteria, and the number doubles every 50 minutes. a. Find a…

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Q: A salesperson makes a base salary of $1000 per month. Once he reaches $10,000 in total sales, he…

A: Topic - piecewise function

Q: An influenzae virus triples in size every 50 hours. A sample taken from the door knob initially…

A: a) The function would be of form A(t)=abt Initially 1250 viral particles means,   A(0)=ab01250=a…

Q: Below is the graph of a function f(x). On the same set of axes, graph f-1(x).

A: Take the square box in graph has one unit. Then, given f(x) plot becomes…

Q: Sketch the graph of the function by first making a table of values. (If an answer is undefined,…

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Q: Consumer expenditures, in millions of dollars, on all types of books in the United States for the…

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Q: (a) What is a one-to-one function?(b) How can you tell from the graph of a function whether it is…

A: (a) The function is said to be one-one function if no two elements in the domain of the function…

Q: A bookworm is crawling around on a piece of graph paper, as shown above. If we wished to determine…

A: A function is a relation between two quantities x and y(x) among which one quantity depends on the…

Q: The area of a sheet of paper is 93.5 square inches. a. Find the remaining, visible area of the sheet…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A 8-inch tall sunflower is planted in a garden and the height of the sunflower increases by 11% per…

A: Note :- According to company guidelines we can attempt only three subparts of a question so please…

Q: A travel agency charges a fixed 5,000 pesos fee for a travel tour with a group of 1 to 5 people and…

A: A travel agency charges a fixed 5,000 pesos fee for a travel tour with a group of 1 to 5 people and…

Q: The graph shows the relationship between the number of pages printed by a printer and the warm-up…

A: The graph of this function is as follows: The straight line passes through the points (10, 2) and…

Q: Determine the value of ƒ¯'(1) for the function f whose graph is shown below. 64 4 -3 2 1 2 3 4 5 6…

A: Graph of the function is given, we have to find the value of f-1(1)

Q: ATV Deaths The number of ATV-related deaths forpeople of all ages from 1999 to 2009 can be modeledby…

A: We have been given the piecewise function.

Q: Consider the function with the graph below. 1,0 4. -6 -6 (Click on graph to enlarge) What is the…

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Q: Find a function that models the number of bacteria after t hours

A: detailed solution is given below

Q: Write a function in any form that would match the graph shown below. 500 400 300 200 100 -10 -8 -4…

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Q: the snake was introduced into Guam. and has been preying on the native bird population for years.…

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Q: A bookworm is crawling around on a piece of graph paper, as shown above. If we wished to determine…

A: As per guideline only one question can be answered at a time.

Q: A certain city's population has been in decline since 2010, at which time its population was…

A:

Q: The average depth of snow, in centimeters, on Alison's driveway one morning can be modeled by a…

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Q: Write a function in any form that would match the graph shown below. 1000 800 600 400 200 -10 -8 -2…

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Q: Write a function in any form that would match the graph shown below. 00 80 49 20 -10 -8 -6 -4 -2 10…

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Q: A thermometer reading 18° F is brought into a room the temperature of which is 70° F. One minute…

A: By using the given information the temperature difference is μ-70. From the given information, the…

Q: Sketch the graph of the function by making a table of values. Use a calculator if necessary.…

A: Graph of Exponential function

Q: You are a crew on a certain convenience store that pays an hourly wage of ₱45.00 and 1.5 times the…

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Q: A certain medicine is taken in 220 mg dosages and has a half-like of 12 hours. The function A-220…

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Q: 18. Create an equation and sketch the graph of a function using the following table: Time 0 15 30 45…

A: Given qiestion:- Create an equation and sketch the graph of a function using the following table:…

Q: 4) Use the given graph of a function f to determine when the function is increasing, decreasing, or…

A: Function is increasing when slope of tangent is positive and decreasing when slope of tangent line…

Q: Given the function in the graph below, what is a reasonable estimate of a point at which it would…

A: To find the point at which the function intersect with its inverse.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.