
Concept explainers
In Problems 49-64, list the intercepts and test for symmetry.

To find: The intercepts and test for the symmetry.
Answer to Problem 58AYU
are and 1 and is . The graph of the equation is symmetric with respect to .
Explanation of Solution
Given:
The equation
To find the , let
Therefore
or
or
or not real
The are and 1
To find the , let
Therefore
The is
Now test the equation for symmetry with respect to . Replace by .
not the same as the original equation when is replaced by .
Therefore the graph of the equation is not symmetric with respect to .
Now test the equation for symmetry with respect to . Replace by
is not equivalent to the original equation.
Therefore the graph of the equation is not symmetric with respect to .
Now test the equation for symmetry with respect to the origin. Replace by and by
is not equal to the original equation. Therefore the graph of the equation is not symmetric with respect to the origin.
Chapter 1 Solutions
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