Question

a function is defined by equation f(x)=-3x+2 what is the average rate if change for the function on the interval from x =-2 to x = 2​

Answer 1

Answer:

Step-by-step explanation:

The average rate of change for this function, which is a line, is the slope of the line.  We are given domain values of -2 and 2.  In order to apply the slope formula, we need the y values that go along with those x values.  So we evaluate the function at x values of -2 and 2:

f(-2) = -3(-2) + 2

f(-2) = 6 + 2 so

f(-2) = 8 and the coordinate is (-2, 8)

f(2) = -3(2) + 2

f(2) = -6 + 2 so

f(2) = -4 and the coordinate is (2, -4)

Now we can apply the slope formula:

$m=\frac{-4-8}{2-(-2)}=\frac{-12}{4}=-3$