Question

multiple-choice question
using the function below.
$g(x)=2(6)^x$
calculate the average rate of change from x = 0 to x = 2. you may use a calculator.
$m = 35$
$m = -\frac{1}{35}$
$m = \frac{1}{35}$
$m = -35$
rewatch
submit

Explanation:

Step1: Find $g(0)$

$g(0)=2(6)^0=2\times1=2$

Step2: Find $g(2)$

$g(2)=2(6)^2=2\times36=72$

Step3: Apply average rate formula

The average rate of change is $\frac{g(2)-g(0)}{2-0}=\frac{72-2}{2}=\frac{70}{2}=35$

Answer:

$m = 35$