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find the average rate of change, in simplest form, of the function over the interval 4\le x \le 74≤x≤7.

Sagot :

MrRoyal

Answer:

[tex]Average\ Rate = \frac{104}{3}[/tex]

Step-by-step explanation:

Given

See attachment for table

Required

Determine the average rate of change over: 4≤x≤7.

Average rate of change is calculated as:

[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where:

[tex]a=4[/tex]

[tex]b = 7[/tex]

So:

[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]Average\ Rate = \frac{f(7) - f(4)}{7 - 4}[/tex]

[tex]Average\ Rate = \frac{f(7) - f(4)}{3}[/tex]

From that table:

f(4) =

f(7) =

So:

[tex]Average\ Rate = \frac{f(7) - f(4)}{3}[/tex]

[tex]Average\ Rate = \frac{108-4}{3}[/tex]

[tex]Average\ Rate = \frac{104}{3}[/tex]

View image MrRoyal
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