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Chapter 5: Q. 4 (page 282)

Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red

Find the average rate of change of f(x)=3x-5 from x=0tpx=4

Short Answer

Expert verified

The average rate of change of f(x)=3x-5from x=0tox=4 is 3

Step by step solution

01

Step 1. Given

The function f(x)=3x-5

From x=0tox=4

To find the average rate of change.

02

Step 2. Find the function at given points.

At x=4,

f(4)=3(4)-5=12-5=7

f(0)=3(0)-5=-5

03

Step 3. Average rate of change

Average rate of change=f(b)-f(a)b-a,b鈮�a

04

Step 4. Substitute the values in the formula.

Substitute the given values in the formula,

Rate of change =f(4)-f(0)4-0,4鈮�0 role="math" localid="1646181359797" =7-(-5)4-0=124=3

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Most popular questions from this chapter

True or False. The domain of the composite functionf鈭�gxis the same as the domain ofg(x).

If g(-5)=3 and g is one-to-one, what is g-1(3)?

A function y=f(x)is decreasing on the interval(0,5).What conclusions can you draw about the graph ofy=f-1(x)?

Solve the equation 5x+3=15

and verify your results using a graphing utility.

the function f is one-to-one. Find its inverse and check your answer.

f(x)=-3x-4x-2
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