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The function y = f (x) is graphed below. What is the average rate of change of the function f(x) on the interval - 5≤ x ≤3?

User Mgaert
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1 Answer

2 votes

Given data:

The given graph.

The limits of x are - 5≤ x ≤3.

The expression for average rate of change is,


\begin{gathered} r=(f(3)-f(-5))/(3-(-5)) \\ =(f(3)-f(-5))/(8) \end{gathered}

Substitute the given values in the above expression.


\begin{gathered} r=(12-(-4))/(8) \\ =(16)/(8) \\ =2 \end{gathered}

Thus, the average rate of change is 2.

User Ntysdd
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