Concept explainers
(a)
To calculate: To find the coordinates of a second point on the graph of a function if the given point is on the graph and the function is even
(a)
Answer to Problem 75E
Second coordinate is
Explanation of Solution
Given: Point is
Formula Used:
Even Function: If the graph of function has symmetry about y-axis as shown below:
For point
Calculation:
Point is given as follows:
Since the function is even and point lies on graph.
Thus, coordinates of second point that lies on graph is as follows:
Conclusion:
Hence, second coordinate is
(b)
To calculate: To find the coordinates of a second point on the graph of a function if the given point is on the graph and the function is odd
(b)
Answer to Problem 75E
Second coordinate is
Explanation of Solution
Given: Point is
Formula Used:
Odd Function: If the graph of function has symmetry about origin as shown below:
For point
Calculation:
Point is given as follows:
Since the function is odd and point lies on graph.
Thus, coordinates of second point that lies on graph is as follows:
Conclusion:
Hence, second coordinate is
Chapter 1 Solutions
Precalculus with Limits: A Graphing Approach
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