Which monomial function is described by the following statements?

As x > 0 increases, f (x) increases. As x < 0

decreases, f (x) decreases.

a. odd monomial function with negative a

b. odd monomial function with positive a

c. even monomial function with positive a

d. even monomial function with negative a

Answer is c)

The function is even because by the conditions in the task it is symmetric around the center of the x-y graph (it would be odd if y-axis is line of symmetric but its even because the center is the dot of symmetric)

And "a" is positive because when x increases f (x) increases as well (if x would increase and f (x) decrease than "a" would be negative)