
Concept explainers
To calculate:Whether the equation

Answer to Problem 78E
The equation
Explanation of Solution
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 unchanged. 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 changed. Therefore, the equation
Thus, the equation is symmetric only about x-axis.
Chapter 1 Solutions
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
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