Delta math help

Question

Given the function g(x)=−x squared−2x+4, determine the average rate of change of the function over the interval −3≤x≤2.

Answer 1

f(-3)=-9+6+4=1

f(2)=-4-4+4=-4

[f(-3)-f(2)]/(-3-2)=5/-5=-1

Answer 2

g(x) = -x² - 2x + 4 evaluate at -3 and 2

g(-3)= - (-3)² - 2(-3)+4

g(-3) = -9 + 6 + 4 = 1

g(x) = -x² - 2x + 4

g(2)= - (2)² - 2(4)+4

g(2) = -4 - 8 + 4 = -8

Find the difference between g(-3) and g(2)

1 - (-8) = 9

Divide by length of interval 2 - (-3) = 5

9/5 is the average rate of change over the interval