Question

What is the inequality that represents the range of the function g(x)=-3/4x^2 when the domain is restricted to -4

A) -4≤y≤-2
B) y≤-2
C) -14≤y≤-5
D) y≤0

Answer 1

D

Explanation:

to show the general direction of the graph, we should find the end points and one in the middle, lets see what happens why x is -4, 0, and 4. when x=-4, it is 16*-3/4 (which is negetive), when x is 0, y is 0, and when x is 4, the same this happens in the first number. If these points are plotted, it is shown as a parabola pointing downwards. The max is will be is 0. because before 0, the numbers are negetive in the y axis, and after they are negetive in the y axis, and it tops out at y=0 when x=0. Therefore Y is smaller than or equal to 0, or D.