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Given the function defined in the tablebelow, find the average rate of change, insimplest form, of the function over theinterval 2 < x < 6.

Given The Function Defined In The Tablebelow Find The Average Rate Of Change Insimplest Form Of The Function Over Theinterval 2 Lt X Lt 6 class=

Sagot :

Average rate of change over an interval is defined as:

[tex]\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

The interval define is :

[tex]2\leq x\leq6[/tex]

This implies that the average rate of change over the interval is:

[tex]\begin{gathered} \frac{f(x_6)-f(x_2)}{x_6-x_1}=\text{ }\frac{19-13}{6-2} \\ \\ \text{The average rate of change over the interval=}\frac{6}{4}=\frac{3}{2} \end{gathered}[/tex]

Hence, the average rate of change over the interval is;

[tex]\frac{3}{2}[/tex]

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