The average rate of change, in simplest form, of the function over the interval 1 < x < 5 is 18.
Find the average rate of change?
The average rate of change is the change in the slope of the function, it is given by the formula,
[tex]\text{Average rate of change} = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Given to us
y₂ = f(x₂) = 27
x₂ = 3
y₁ = f(x₁) = 9
x₁ = 2
Substitute the values in the formula,
[tex]\text{Average rate of change} = \dfrac{27-9}{3-2} = 18[/tex]
Hence, the average rate of change, in simplest form, of the function over the interval 1 < x < 5 is 18.
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