Question

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What is the average rate of change over the interval [–2, 0] for the graph

Answer 1

Answer: 1

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Step-by-step explanation:

The graph shows that when x = -2, we have y = 0. So the point (-2,0) is on the graph.

The point (0,2) is on the graph, which occurs when x = 0.

To find the rate of change, we are basically finding the slope of the line through these endpoints

m = slope

m = (change in y)/(change in x)

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

m = (2-0)//(0-(-2))

m = (2-0)/(0+2)

m = 2/2

m = 1

The slope of the line through (-2,0) and (0,2) is m = 1

Therefore, the rate of change on the interval [-2,0] is 1

Answer 2

• 1

Step-by-step explanation:

Average rate of change over the interval [-2, 0] is:

• (f(0) - f(-2))/(0 - (-2))

As per graph we have:

• f(0) = 2, f(-2) = 0

Find the value:

• (2 - 0)/2 = 2/2 = 1