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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 7≤x≤8?

The function yfxis graphed below What is the average rate of change of the function fx on the interval 7x8 class=

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Answer:

40

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 ] = [ 7, 8 ] , then

f(b) = f(8) = 20 ← point (8, 20 ) on graph

f(a) = f(7) = - 20 ← point (7, - 20 ) on graph

average rate of change = [tex]\frac{20-(-20)}{8-7}[/tex] = [tex]\frac{20+20}{1}[/tex] = 40

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