
Concept explainers
(a)
To sketch: The graph of equation
(a)

Explanation of Solution
The given equation is
Substitute different values of x to get corresponding values of y in above equation and make a table,
x |
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| 0 |
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0 |
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Plot points from above table and connect them by a smooth curve which is shown in Figure (1),
Figure (1)
Figure (1) shows the graph of equation
(b)
To find: The x-intercepts and y-intercepts of graph of the equation
(b)

Answer to Problem 16T
The values of x-intercepts are
Explanation of Solution
Given:
The equation is,
Calculation:
Substitute 0 for y in equation (1) and solve for x to get the value of x-intercept,
The x-intercept is
Substitute 0 for x in given equation and solve for y to get the value of y-intercept,
The y-intercept is
The graph intersects the x-axis at
Thus, the values of x-intercepts are
(c)
To check: The symmetry of graph of the equation
(c)

Answer to Problem 16T
The graph of the equation
Explanation of Solution
The given equation is,
Replace y by
The above equation is not equivalent to equation (1) so the graph is not symmetric about the x-axis.
Replace x by
The above equation is equivalent to equation (1) so the graph is symmetric about y-axis shown in Figure (1),
The Figure (1) shows that the part of the graph to the left of the y-axis is the mirror image of the part to the right of the y-axis and the points
Thus, the graph of the equation
Chapter 1 Solutions
Precalculus - A Custom Text for UNLV
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