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Chapter 14: Q. 44 (page 883)

In Problems 43鈥�52, find the limit as x approaches c of the average rate of change of each function from c to x.

c=-2;f(x)=4-3x.

Short Answer

Expert verified

The answer is -3.

Step by step solution

01

Step. 1 Given Information

c=-2;f(x)=4-3x.

02

Step. 2 Average rate of change of f. 

The average rate of change of f from -2 to x is

鈭�y鈭�x=f(x)-f(-2)x-(-2)=(4-3x)-(4-3(-2))x+2=(4-3x)-(4+6)x+2=-3x-6x+2=-3(x+2)(x+2)=-3.

03

Step. 3 Finding limit 

The limit of the average rate of change is

limx鈫�-2鈭�y鈭�x=limx鈫�-2(-3)=-3.

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Most popular questions from this chapter

In Problems 7鈥� 42, find each limit algebraically

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In Problems 7鈥� 42, find each limit algebraically.

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limx鈫�1x3-x2+3x-3x2+3x-4
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