Question

F(x) = x2 + 4 (a) find the average rate of change between the points. simplify your answers. (i) (−1, f(−1)) and (3, f(3))

Answer 1

The average rate of change is computed from

... (change in function value)/(change in x)

... = (f(3) - f(-1))/(3 - (-1))

... = (13 - 5)/(4) = 8/4 = 2

The average rate of change between the given points is 2.

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The attached graph shows a line with slope 2 passing through the two points.