Question

The function y = f(x) is graphed below. What is the average rate of change of the
function f(x) on the interval -6 ≤ x ≤-3?

Answer 1

Answer:

- 5

Step-by-step explanation:

the average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

here [ a, b ] = [ - 6, - 3 ] , then

f(b) = f(- 3) = - 15 ← point (- 3, - 15 ) from graph

f(a) = f(- 6) = 0 ← point (- 6, 0 ) from graph

then

average rate of change = $\frac{-15-0}{-3-(-6)}$ = $\frac{-15}{-3+6}$ = $\frac{-15}{3}$ = - 5