Question

what is the average rate of change from x=0 to x=1

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = f(x)$ from $x = a$ to $x = b$ is given by $\frac{f(b)-f(a)}{b - a}$. Here, $a = 0$, $b = 1$.

Step2: Find $f(0)$ and $f(1)$ from the graph

From the graph, when $x = 0$, assume the function value $y=f(0)= - 3$. When $x = 1$, assume the function value $y = f(1)=-2$.

Step3: Calculate the average rate of change

Substitute $f(0)=-3$ and $f(1)=-2$ into the formula $\frac{f(1)-f(0)}{1 - 0}=\frac{-2-(-3)}{1}=\frac{-2 + 3}{1}=1$.

Answer:

1