Question

HELP PLEASE ASAP:

Answer 1

The average rate of change, of the function, between the intervals, x = 2 to x = 6 is: 180.

What is the Average Rate of Change of a Function?

Average rate of change = $\frac{f(b) - f(a)}{b - a}$.

Given the function, $f(x)= 3^x + 25$,

The average rate of change using the intervals of, x = 2 to x = 6 would be solved as shown below:

a = 2

b = 6

f(a) = $f(2)= 3^2 + 25$ = 34

f(b) = $f(6)= 3^6 + 25$ = 754

Average rate of change = $\frac{754 - 34}{6 - 2} = \frac{720}{4}$

Average rate of change = 180

Therefore, the average rate of change, of the function, between the intervals, x = 2 to x = 6 is: 180.

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