Question

PLZ HELP I WILL GIVE BRAINLIEST:

Answer 1

The average rate of change for the function f(x)= 3^x + 25 using the intervals of x=2 to x=6 is 6.75

The function is given as:

f(x) = 3^x + 25

The interval is given as:

x = 2 to 6

Start by calculating f(2) and f(6)

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

f(6) = 6^2 + 25 = 61

The average rate of change is then calculated as:

$m = \frac{f(6) - f(2)}{6 -2}$

This gives

$m = \frac{61 - 34}{6 -2}$

$m = \frac{27}{4}$

m = 6.75

Hence, the average rate of change is 6.75

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