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Concept explainers
In Problems 13-24, determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find:
(a) The domain and range
(b) The intercepts, if any
(c) Any symmetry with respect to the , the , or the origin
![Chapter 2.2, Problem 14AYU, In Problems 13-24, determine whether the graph is that of a function by using the vertical-line](https://content.bartleby.com/tbms-images/9780134119281/Chapter-2/images/19281-2.2-16sb-question-digital.jpg)
![Check Mark](/static/check-mark.png)
To find: The given graph is that of a function by using vertical-line test; if it is, using the graph to find.
a. The domain and range;
Answer to Problem 14AYU
Solution:
A function;
a. Domain of the function ; Range .
Explanation of Solution
Given:
The following graph
Calculation:
The given graph is a graph of a function because every vertical line interests the graph in at most one point.
a. Domain of the function ; Range .
![Check Mark](/static/check-mark.png)
To find: The given graph is that of a function by using vertical-line test; if it is, using the graph to find.
b. The intercepts, if any;
Answer to Problem 14AYU
Solution:
A function;
b. is ; - .
Explanation of Solution
Given:
The following graph
Calculation:
The given graph is a graph of a function because every vertical line interests the graph in at most one point.
b. is ; - .
![Check Mark](/static/check-mark.png)
To find: The given graph is that of a function by using vertical-line test; if it is, using the graph to find.
c. Any symmetry with respect to the , the or the origin.
Answer to Problem 14AYU
Solution:
A function;
c. The graph is symmetric with respect to and the origin.
Explanation of Solution
Given:
The following graph
Calculation:
The given graph is a graph of a function because every vertical line interests the graph in at most one point.
c. The graph is symmetric with respect to and the origin. and .
Chapter 2 Solutions
Precalculus Enhanced with Graphing Utilities
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University Calculus: Early Transcendentals (4th Edition)
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