Find the average rate of change over the interval [-1,2] (from x = -1 to x = 2) for the graph below What is the coordinate where x=-1 ?

What is the coordinate where x=2?

What is the rate of change between those two points?

Hello!

Find the coordinate where x = -1:

At x = -1, y = 1, so the coordinate is (-1, 1).

Find the coordinate where x = 2:

At x = 2, y = -2, so the coordinate is (2, -2).

Find the rate of change between the points using the slope formula:

Plug in the coordinates above:

Simplify:

Thus, the rate of change between the points is -1.

the answer

b. they are parallel and will never intersect.

29.5977692753

step-by-step explanation: