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Answered: Use the graph below of a function fto…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.CT: Chapter Test

Problem 3CT: Use the graph of the function shown to determine the following. Domain and range

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Similar questions

The circumference C of a circle is a function of its radius given by C(r)=2r. Express the radius of a circle as a function of its circumference. Call this function r(C) , Find r(36) and interpret its meaning,
Use a graphing utility to graph f(x)=10|x-|2 on the viewing window [0,4] . Identify the corresponding range. Show the graph.
Use the graph of the function f to find (a) the domain of f, (b) the function values f(0) and f(3) and (c) the range of f.
Suppose the range of a function fis [5,8] . What is the range of |f(x)| ?
Use the graph of the function shown to determine the following. Domain and range
How do the graphs of the functions f(x)=x2 and f(x)=x21 differ? We graphed them at the start of this section. What is the difference between their graphs? How are their graphs the same?
Use the graph of the function to find its domain and range. Write the domain and range in interval notation.
For the function f(x)=x2 , (a) find the domain (b) graph the function (c) use the graph to determine the range.
What is the composition of two functions, fg ?
Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.
The number of cubic yards of dirt, D, needed to cover a garden with area a square feet is given by D=g(a) . a. A garden with area 5,000 ft2 requires 50 yd3 of dirt. Express this information in terms of the function g. b. Explain the meaning of the statement g(100)=1 .
The amount of garbage, G, produced by a city with population p is given by G=f(p) . G is measured in tons per week, and p is measured in thousands of people. a.The town of Tola has a population of 40,000 and produces 13 tons of garbage each week. Express this information in terms of the function f. b.Explain the meaning of the statement f(5)=2 .

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