19
QuizMultiple Choice

Unit Test — Unit test

Question 19 • TX-Precalculus A

Which statement describes the function y = axn when a = 1 and n is odd?

Answer
A
The graph opens down.
B
The graph is symmetric about the origin.
C
The graph does not pass through the origin.
D
The graph has more than one x intercept.

Explanation

With a = 1, the function is y = xⁿ. When n is odd, replacing x with −x gives (−x)ⁿ = −xⁿ, so the graph has origin symmetry. The correct statement is “The graph is symmetric about the origin.”

AI-written and checked against the verified answer.

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