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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 -2 ≤ x ≤ -1?

Answer

To find the average rate of change of the function f(x) on the interval [-2, -1], we use the formula:

Average Rate of Change = (f(b) - f(a)) / (b - a)

where a = -2 and b = -1.

From the graph:

  1. f(-2) = -20
  2. f(-1) = -10

Substitute these values into the formula:

Average Rate of Change = (-10 - (-20)) / (-1 - (-2)) = (10) / (1) = 10

Therefore, the average rate of change is 10.

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