Answer:
f(3) = 42.
Y-intercept is (0, -6).
X-intercepts are (-0.5, 0), ( 2, 0) and (-3, 0).
Explanation:
f(3) = (2(3) + 1)(3 - 2)(3 + 3)
= 7 * 1 * 6
= 42.
The y intercept occurs when x = 0:
y-intercept = (2(0) + 1)(0 - 2)(0 + 3)
= 1 *-2*3
= -6.
Calculate the x-intercepts:
(2x + 1)(x - 2)(x + 3) = 0 so
(2x + 1) = 0 or (x - 2) = 0 or (x + 3) = 0
So x = -0.5, 2 or -3.