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Concept explainers
To calculate: The x- and y- intercepts for the equation
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Answer to Problem 70E
The x-intercepts are
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
The x-intercepts are the points on x-axis where the graph of the equation intersects the x-axis.
The y-intercepts are the points on y-axis where the graph of the equation intersects the y-axis.
Calculation:
It is provided that the equation is
Substitute the point
Substitute the point
Substitute the point
Substitute the point
Construct a table with the values obtained above,
In the coordinate plane plot the points obtained above and connect them through a line.
The graph of the equation is provided below
Recall that the x-intercepts are the points on x-axis where the graph of the equation intersects the x-axis.
Substitute
Therefore, x-intercepts are
Recall that the y-intercepts are the points on x-axis where the graph of the equation intersects the y-axis.
Substitute
Therefore, y-intercept 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 unchanged. 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 x-intercepts are
Chapter 1 Solutions
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
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