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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...

The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -5 ≤ x ≤ 4?

Answer

To find the average rate of change of the function f(x) on the interval [-5, 4], we use the formula:

Average Rate of Change = (f(4) - f(-5)) / (4 - (-5))

From the graph:

  1. f(-5) ≈ 30
  2. f(4) ≈ -20

Substitute these values into the formula:

Average Rate of Change = (-20 - 30) / (4 + 5) = -50 / 9 ≈ -5.56

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