Question

The function y = f(x) is graphed below.

What is the average rate of change of the
function f(x) on the interval

Answer 1

-3/5

Explanation:

Answer 2

5

Explanation:

You want the average rate of change on the interval [-6, 4] for the function f(x) shown in the graph.

Rate of change

The average rate of change over the interval is the slope of the line between the points at the ends of the interval. For this curve, those points are ...

(-6, -50) and (4, 0)

The slope of the line between those points is ...

m = (y2 -y1)/(x2 -x1)

m = (0 -(-50))/(4 -(-6)) = 50/10 = 5

The average rate of change of f(x) on the interval [-6, 4] is 5.

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