Concept explainers
To find: whether graph of equation is symmetric with respect to x-axis, y-axis, both, or neither; and use information to graph the relation.
Answer to Problem 35E
Both
Explanation of Solution
Given information:
Calculation:
Put
If the solution of equation is same as that of any other case, then their graphs are symmetric.
Let’s check whether the given cases are symmetric with the given equation or not by substituting replacing
Check symmetry with | Symmetric with graph equation (Yes/No) | ||
x-axis | Yes | ||
y-axis | Yes |
Thus the graph of equation is symmetric with both x-axis and y-axis. The relation is graphed as shown below.
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