Proof (a) Prove that if a graph is symmetric with respect to the -axis and to the -axis

Chapter 1, Problem 75

(choose chapter or problem)

(a) Prove that if a graph is symmetric with respect to the \(x\)-axis and to the \(y\)-axis, then it is symmetric with respect to the origin. Give an example to show that the converse is not true.

(b) Prove that if a graph is symmetric with respect to one axis and to the origin, then it is symmetric with respect to the other axis.

Text Transcription:

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