Question

We never went over this in class and I need help

Answer 1

Answer:

-2 units per unit increase in x

Step-by-step explanation:

The average rate of change of a function f(x) on a given interval [a, b] is:

                    f(b) - f(a)

a. r. of c.  = ----------------

                        b - a

Here a = -1 and b = +1.  The function f(x) is given graphically.  Note how f(a) = f(-1) = 4 and how f(b) = f(+1) = 0.

In this case, the a. r. of c. is:

                       0 - 4             -4

a. r. of c. = ---------------- = ---------- = -2 units per unit increase in x

                       1 - (-1)             2