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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?

The function y fx is graphed below What is the average rate of change of the function fx on the interval 6 x 3 class=

Respuesta :

Answer:

- 5

Step-by-step explanation:

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

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

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 = [tex]\frac{-15-0}{-3-(-6)}[/tex] = [tex]\frac{-15}{-3+6}[/tex] = [tex]\frac{-15}{3}[/tex] = - 5

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