Question

the graph of a function g is shown below. use the graph of the function to find its average rate of change from x = -6 to x = -5. simplify your answer as much as possible.

Explanation:

Step1: Identify $g(-6)$ and $g(-5)$

From the graph, $g(-6)=8$, $g(-5)=5$

Step2: Apply average rate formula

The average rate of change formula is $\frac{g(x_2)-g(x_1)}{x_2-x_1}$. Substitute $x_1=-6$, $x_2=-5$, $g(x_1)=8$, $g(x_2)=5$.
$\frac{5 - 8}{-5 - (-6)}=\frac{-3}{1}$

Step3: Simplify the expression

$\frac{-3}{1}=-3$

Answer:

$-3$