the graph of a function g is shown below. use the graph of the function to find its average rate of change…

the graph of a function g is shown below. use the graph of the function to find its average rate of change from x = 3 to x = 7. simplify your answer as much as possible.

the graph of a function g is shown below. use the graph of the function to find its average rate of change from x = 3 to x = 7. simplify your answer as much as possible.

Answer

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = g(x)$ from $x=a$ to $x = b$ is $\frac{g(b)-g(a)}{b - a}$. Here, $a = 3$ and $b=7$.

Step2: Estimate function values from the graph

From the graph, when $x = 3$, $g(3)=- 4$; when $x = 7$, $g(7)=-4$.

Step3: Calculate the average rate of change

Substitute into the formula: $\frac{g(7)-g(3)}{7 - 3}=\frac{-4-(-4)}{7 - 3}=\frac{-4 + 4}{4}=\frac{0}{4}=0$.

Answer:

$0$