Question

Find the average rate of change for the given function from x = -3 to x = 1.
A. -1
B. -2
C. 1
D. 2

Answer 1

Average rate of change=slope which is measuring the change in the dependent variable 'y' with respect to the independent variable 'x'. \[\frac{\Delta y }{\Delta x}=\frac{f(3)-f(-1)}{3-(-1)}=Slope\]

Answer 2

Agreed. Note that "the given function" is a straight line. Thus, the slope formula is all you need to use here.

Can you find from the given graph the values of f(3) and f(-1)?