Since f(x) has the factors x, x − 3, and x + 2, then we must have f(x) = a(x)(x − 3)(x + 2) for some as yet unknown multiplier a. however, since it was given that f(2) = 40, we substitute 2 for x and 40 for f(x) and solve.

a = -5.

Step-by-step explanation:

40 = a*2*(2-3)(2+2)

40 = -8a

a = -5.

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).