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

Chapter 1, Problem 80

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

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