Which monomial function, y is equal to A x to the n th power , is described by the following statements? As x is greater than 0 increases, f of x increases. As x is less than 0 decreases, f of x decreases.

For positive x, an increasing monomial with positive exponent rises as x rises when A is positive. On the negative side, the function must also fall as x becomes more negative, which is the behavior of an odd power with positive A: for example, x³ changes from −1 to −8 as x changes from −1 to −2. So the function is an odd monomial with positive A.

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