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Concept explainers
(a)
To find: the domain of the given function.
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 32AYU
The function is not defined.
Explanation of Solution
Given information:
Given function
Calculation:
From the above definition we see the domain of the function is the set of all real numbers as there is no value of
(b)
To locate: any intercepts of the given function.
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 32AYU
And the
Explanation of Solution
Given information:
Given function
Calculation:
The intercepts are the points on the graph which are obtained when it cuts the
And the
(c)
To sketch: the graph of the given function.
(c)
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given information:
Given function
Calculation:
Plot the points and draw the line to get the graph of the function
(d)
To find: the range based on the graph.
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 32AYU
The function
Explanation of Solution
Given information:
Given function
Calculation:
From the graph we see that
(e)
To find: whether
(e)
![Check Mark](/static/check-mark.png)
Answer to Problem 32AYU
The graph it can be clearly seen that the function is continuous throughout its domain.
Explanation of Solution
Given information:
Given function
Calculation:
The only point at which the function might have behaved in a manner that it becomes discontinuous is
and
Hence
So even at the break point the function is continous.
Hence the function is continuous at all points.
Also from the graph it can be clearly seen that the function is continuous throughout its domain.
Chapter 2 Solutions
Precalculus
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