Polynomial functions with an even degree have y-axis symmetry

Question

Braxton Coleman

Mathematics

14 June, 20:36

Polynomial functions with an even degree have y-axis symmetry

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Answers (1)

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Lena Reese · Answer 1

Polynomial functions with an even degree have y-axis symmetry is a true statement.

Explanation:

A function symmetrical with respect to the y-axis is called an even function. A function that is symmetrical with respect to the origin is called an odd function. f (x). Since f (-x) = f (x), this function is symmetrical with respect to the y-axis.

So a function that has an even degree in it, be it a polynomial function, has a y-axis symmetry always. The equations with odd degrees may or may not have a y axis symmetry.