6
QuizMultiple Choice

Monomial Functions — Quiz

Question 6 • Algebra 2 with Probability

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 decreases. As x is less than 0 decreases, f of x decreases.

Answer
A
odd monomial function with positive A
B
odd monomial function with negative A
C
even monomial function with negative A
D
even monomial function with positive A

Explanation

For positive x, the function decreases as x increases, so its graph falls on the right side. On the left side, as x moves toward more negative values, the function also decreases; this means the graph rises as you move from left to right. An even-power monomial with negative A, such as y = −x², has exactly this behavior: choice C, even monomial function with negative A.

AI-written and checked against the verified answer.

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