Question

Find the average rate of change of the exponential equation from x = 3 to x = 6

Answer 1

The average rate of change of the exponential equation from x = 3 to x = 6 is 4.55

How to determine the average rate of change?

The function is given as:

$f(x) = 2x^{1.35$

When x = 3, we have:

$f(3) = 2 * 3^{1.35} =8.813$

When x = 6, we have:

$f(6) = 2 * 6^{1.35} =22.466$

The average rate of change is then calculated as:

$m = \frac{f(6) -f(3)}{6 - 3}$

This gives

$m = \frac{22.466 -8.813}{6 - 3}$

Evaluate

m = 4.55

Hence, the average rate of change of the exponential equation from x = 3 to x = 6 is 4.55

Read more about average rate of change at:

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