Question

Use the graph below for this question:

graph of parabola going through negative 3, negative 3 and negative 4, negative 1.

What is the average rate of change from x = −3 to x = −4?

3
4
−3
−2

Answer 1

I believe it's going to be -2

Answer 2

average rate of change is just the slope betwen the points
that is just the slope between (-3,-3) and (-4,-1)

slpe between (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)

so slope between (-3,-3) and (-4,-1) is (-1-(-3))/(-4-(-3))=(-1+3)/(-4+3)=2/-1=-2

the average rate of change is -2