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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.8, Problem 79E

To determine

**To calculate:**Whether the equation

Expert Solution

The equation __origin.__

**Given information:**

The equation

**Formula used:**

The function is symmetric about the x-axis, when y is replaced by

The function is symmetric about the y-axis, when x is replaced by

The function is symmetric with respect to origin, when y is replaced by

**Calculation:**

It is provided that the equation is

Recall that the function is symmetric about the x-axis, when y is replaced by

Replace y by

The equation is changed. Therefore, the equation

Recall that the function is symmetric about the y-axis, when x is replaced by

Replace x by

The equation is changed. Therefore, the equation

Recall that the function is symmetric with respect to origin, when y is replaced by

Replace x by

The equation is unchanged. Therefore, the equation

Thus, the equation is symmetric only about origin.