Answer:
D) As x increases, f(x) decreases; As x decreases, f(x) decreases
Explanation:
To determine the end behavior of a function, it's worth noting the characteristics of the function.
As the function is clearly a parabola, given that the exponent is 2, this means that the function is even, which means as x increases, f(x) increases, and as x decreases, f(x) also increases. This is because for an even function, f(x)=-f(x). However, since the leading coefficient is negative, the parabola opens downwards, showing that as x increases, f(x) decreases, and as x decreases, f(x) decreases.
Therefore, D is correct. I've attached a graph to help you visualize what I've explained.