Rates of Change and Behavior of Graphs · Exercise 3

Find the slope of a line and the average rate of change.

ⓐ Complete the following table of values for $f\left(x\right)=x^2+2x-8$

$$\begin{array}{cc}\text{x}& \text{f(x)}\\ \text{–2}& \\ \text{2}& \\ \text{4}& \end{array}$$

ⓑ Use the table above to find the average rate of change between x=–2 and x=2.
ⓒ Use the table above to find the average rate of change between x=2 and x=4
ⓓ Sketch the graph of f(x) below and graph the lines with slopes equal to the average rates of change found in parts ⓑ and ⓒ.

This problem refers to a figure in its source book that isn't reproduced here.

OpenStax, Algebra and Trigonometry 2e · §3.3 Rates of Change and Behavior of Graphs · Exercise 3