Symmetry Answers

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Dimetri says that a function that is made of terms where the variable is raised only to an odd power will be an odd function. Do you agree with Dimetri? Explain why or why not.

Answer:

He is correct only if there is no constant term. Raising -x to an odd power gives -x, so the signs change on the variable terms but not on a constant term.

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Compare your response to the sample response above. Did your explanation

A
state that the function will be odd only if there is no constant term?
B
state that raising -x to an odd power results in -x?
C
state that the terms with variables will be opposites but the constant won’t?

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Symmetry Answers — 2627 ALGEBRA II A