Which monomial function, y = ax^n, is described by the following statements?
as x > 0 increases, f(x) decreases. as x < 0 decreases, f(x) decreases.
a.) odd monomial function with positive a
b.) odd monomial function with negative a
c.) even monomial function with positive a
d.) even monomial function with negative a

Option D is correct.

Step-by-step explanation:

We can see from the attachment which is graph with all four possibilities

Odd function and positive "a" which is red graph

Even function positive "a" which is blue graph

Odd function negative "a" which is green graph

Even function negative "a" which is purple graph

Let us assume values of "a" and "n" according to the possibilities.

The required behaviour which is As x > 0 increases, f(x) decreases. As x < 0 decreases, f(x) decreases is shown by purple graph that is odd monomial function with negative "a".

Therefore, Option D is correct.

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