Answer:
Step-by-step explanation:
The average rate of change for this function, which is a line, is the slope of the line. We are given domain values of -2 and 2. In order to apply the slope formula, we need the y values that go along with those x values. So we evaluate the function at x values of -2 and 2:
f(-2) = -3(-2) + 2
f(-2) = 6 + 2 so
f(-2) = 8 and the coordinate is (-2, 8)
f(2) = -3(2) + 2
f(2) = -6 + 2 so
f(2) = -4 and the coordinate is (2, -4)
Now we can apply the slope formula:
[tex]m=\frac{-4-8}{2-(-2)}=\frac{-12}{4}=-3[/tex]
