Rate of Change Math Example 4

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Example 4

easy
Find the average rate of change of f(x)=x2+3xf(x) = x^2 + 3x from x=0x = 0 to x=5x = 5.

Solution

  1. 1
    f(0)=0f(0) = 0 and f(5)=25+15=40f(5) = 25 + 15 = 40.
  2. 2
    Average rate of change: f(5)−f(0)5−0=405=8\frac{f(5) - f(0)}{5 - 0} = \frac{40}{5} = 8.

Answer

88
The average rate of change equals the slope of the secant line connecting the two endpoint values of the function.

About Rate of Change

A measure of how quickly one quantity changes with respect to another; the ratio of the change in output to the change in input.

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Example 3 medium

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Example 5 medium

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