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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 -8 ≤ x ≤-7?

The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -8 ≤ x ≤-7? class=

Answer :

sqdancefan

Answer:

  2

Step-by-step explanation:

You want to know the average rate of change on the interval -8 ≤ x ≤ -7 of the cubic function shown in the graph.

Average rate of change

The average rate of change of a function f(x) on interval [a, b] is given by ...

  rate of change = (f(b) -f(a))/(b -a)

Here, we have ...

  • a = -8
  • b = -7
  • f(-8) = 0
  • f(-7) = 2

Using these values in the formula for rate of change, we get ...

  rate of change = (2 -0)/(-7 -(-8)) = 2/1 = 2

The average rate of change of f(x) on [-8, -7] is 2.

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