Question

22 g(x) = *+ +7 What is the average rate of change of g over the interval —2, 4):

Answer 1

Answer:

$Rate = 1$

Step-by-step explanation:

Given

$g(x) = x + 7$

Interval: (-2,4)

Required

Determine the average rate of change

This is calculated using:

$Rate = \frac{g(b) - g(a)}{b-a}$

Where:

$(a,b) = (-2,4)$

So, we have:

$Rate = \frac{g(4) - g(-2)}{4-(-2)}$

$Rate = \frac{g(4) - g(-2)}{4+2}$

$Rate = \frac{g(4) - g(-2)}{6}$

Calculate g(4) and g(-2)

$g(4) = 4 + 7 = 11$

$g(-2) = -2 + 7 = 5$

So:

$Rate = \frac{11 - 5}{6}$

$Rate = \frac{6}{6}$

$Rate = 1$

Hence, the average rate of change is 1