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

D

Step-by-step 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.

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).