Question

using the scale on the graph.

the average rate of change for $-3 \leq x \leq -0.3$ is \boxed{}

Explanation:

Step1: Recall average rate of change formula

The average rate of change of a function $f(x)$ over $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$

Step2: Identify values from the graph

Let $a=-3$, $f(a)=-17.5$; $b=-0.3$, $f(b)=2.38$

Step3: Substitute values into formula

$\frac{2.38 - (-17.5)}{-0.3 - (-3)} = \frac{2.38 + 17.5}{-0.3 + 3} = \frac{19.88}{2.7}$

Step4: Calculate the result

$\frac{19.88}{2.7} \approx 7.36$

Answer:

$7.36$