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For the function
Find the domain of
Locate any intercepts.
Graph the function.
Based on the graph, find the range.
(a)
![Check Mark](/static/check-mark.png)
The domain of
Answer to Problem 21CR
Solution:
The domain of
Explanation of Solution
Given information:
The function
Explanation:
Here, the function
Thus, the function is defined on the interval
Therefore, the domain of the function is
(b)
![Check Mark](/static/check-mark.png)
To graph: The intercepts of the function
Explanation of Solution
Given information:
The function
Graph:
First, find the
First, find the intercepts for the function on interval
By substituting
Hence, the
Now, find the
By substituting
Hence, the
Now, find the intercepts for the function on interval
By substituting
Since,
Now, find the
Since, here
Hence, the intercepts to the function
Now, locate points
The graph is as follows:
Interpretation:
The graph represents the intercepts of the function
(c)
![Check Mark](/static/check-mark.png)
To graph: The function
Explanation of Solution
Given information:
The function
Graph:
From part (b)
The intercepts of the function on interval
Now, to graph the function on the interval
For
For
For
Now, plot the points
The graph of the function is as follows:
Interpretation:
There is break in the graph of function
(d)
![Check Mark](/static/check-mark.png)
The range of the function from the graph of function
Answer to Problem 21CR
Solution:
The range of the function is
Explanation of Solution
Given information:
The function
Explanation:
From part (c), the graph of the function
By observing the graph, the value of the function is less than
Hence, the range of the function is
Chapter 4 Solutions
Precalculus
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
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University Calculus: Early Transcendentals (3rd Edition)
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