Which statement describes the function y is equal to A x to the n th power when A is equal to 1 and n is odd?

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. It also passes through the origin, so A is false; it has only one x-intercept, and it does not necessarily open down.

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