
(a)
To find: the domain of the given function.
(a)

Answer to Problem 67RE
The domain of the given function is the set of all the real numbers.
Explanation of Solution
Given information:
Given function
Calculation:
The domain of the function
The value of the function
In the expression
The value of the function for any value of
In the expression
So, the domain of
Therefore, the domain of the given function is the set of all the real numbers.
(b)
To locate: any intercepts of the given function.
(b)

Answer to Problem 67RE
The function does not have any
Explanation of Solution
Given information:
Given function
Calculation:
The
Determine the points on the graph for which the
The value of the function
So, the
For finding the
Add
Divide both sides of the equation by 2.
The function
(c)
To sketch: the graph of the given function.
(c)

Explanation of Solution
Given information:
Given function
Calculation:
Graph each piece to graph the function.
For plotting the graph of the line,
0 3 1 1 |
In order to plot the graph of the line
1 1 2 4 |
Plot the points and draw the lines to get the graph of the function.
(d)
To find: the range based on the graph.
(d)

Answer to Problem 67RE
The range of
Explanation of Solution
Given information:
Given function
Calculation:
From the graph, notice that the points on the graph of
So, the range of
(e)
To find: whether
(e)

Answer to Problem 67RE
The function
Explanation of Solution
Given information:
Given function
Calculation:
From the graph, it can be observed that there is a discontinuity at
Chapter 2 Solutions
Precalculus
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