function q has zeros of -3 and 8 and passes through the y-axis at the point (0,12). the rate of change of function q is -3/2 on the interval (?,?). answer for the ?’s

Step-by-step explanation:

"function q has zeros of -3 and 8"

q(x) = a(x+3)(x-8)

"q passes through the y-axis at the point (0,12)"

a(0+3)(0-8) = 12

a = -½

q(x) = -½(x+3)(x-8) = -½x² + 2.5x + 12

q'(x) = -x+2.5

-x+2.5 = -1.5

x = 4

rate of change is -1.5 at the point (4,14).

the correct answer is the second option