Question

What is the average rate of change of f(x), represented by the table of values, over the interval [-2, 3]?

Answer 1

Average rate of change = (f(b) - f(a))/(b - a) = (f(3) - f(-2))/(3 - (-2)) = (5 - 2.5)/(3 + 2) = 2.5/5 = 0.5

Answer 2

Answer:

D. 0.5

Step-by-step explanation:

We will use average rate of change to solve our given problem.

$\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}$

The average rate of change between -2 and 3 would be:

$\text{Average rate of change}=\frac{f(3)-f(-2)}{3--2}$

Upon looking at our given table we can see that $f(3)=5$ and $f(-2)=2.5$.

$\text{Average rate of change}=\frac{5-2.5}{3+2}$

$\text{Average rate of change}=\frac{2.5}{5}$

$\text{Average rate of change}=0.5$

Therefore, the average rate of change over closed interval $[-2,3]$ is 0.5 and option D is the correct choice.