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AssignmentLong Text

Symmetry

Question 1 • 26/27 ALGEBRA II A

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

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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