   Chapter P.1, Problem 38E

Chapter
Section
Textbook Problem

Testing for Symmetry In Exercises 29-40, test for symmetry with respect to each axis and to the origin. y = x 5 4 − x 2

To determine

To calculate: Symmetry of the equation y=x54x2 with respect to each axis and to origin.

Explanation

Given: y=x54x2

Calculation:

The graph of an equation in x and y is symmetric with respect to the y-axis when replacing x by −-x yields an equivalent equation:

y=(x)54(x)2y=x54x2

The equation is not symmetric about y-axis

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