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Chapter 2: Q. 25 (page 124)

Find the average rate of change from 2to 3for each function f. Be sure to simplify.

f(x)=2-5x

Short Answer

Expert verified

The average rate of change is -5.

Step by step solution

01

Step 1. Find f(2) and f(3)

Consider the functionf(x)=2-5x.

Now the function value for x=2is given as

f(2)=2-5脳2f(2)=2-10f(2)=-8

Again, the function value for x=3is given as

f(3)=2-5脳3f(3)=2-15f(3)=-13

02

Step 2. Find the average rate of change

The average of change for the function f(x)from 2to 3is given as

f(3)-f(2)3-2=-13-(-8)1=-13+8=-5

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