Answer:
D.
Explanation:
The function must have the range -3 to 5.
2x^2 - 4x - 30
= 2(x^2 - 2x - 15)
= 2(x + 3)(x - 5)
so the critical points are -3 and 5.
When x = -2 f(x) = 2* 1 * -7 = -14 <= 0
when x = 4 f(x) = 2 * 7 * -1 <= 0.
when x= 0 f(x) < 0
So its the last option.