HELP! Giving out free points if you answer right!! What is the average rate of change from x=0 to x=1

(Graph in photo)

Explanation:

Mark the points (0,-3) and (1,0) which are on the blue parabola. These points have x coordinates x = 0 and x = 1. This corresponds to the interval your teacher provided.

Finding the slope of the line through the two points mentioned will find the average rate of change.

m = slope

m = (y2-y1)/(x2-x1)

m = (0-(-3))/(1-0)

m = (0+3)/(1-0)

m = 3/1

m = 3

If you started at (0,-3), moved up three units and then to the right one unit, you'd arrive at (1,0). This visually confirms we have the right slope.

Since the slope is 3, the average rate of change is 3.

As an alternative, you could use the average rate of change (AROC) formula

AROC = ( f(x2) - f(x1) )/(x2 - x1)

But note how f(x2) and f(x1) are y2 and y1, but in a different format. So we're just using the slope formula here. Both methods are effectively the same.

3

Step-by-step explanation: