Concept explainers
(a)
To find: the domain of the given function.
(a)
Answer to Problem 38AYU
The domain of the given function is the set of all the real numbers greater than equal to
Explanation of Solution
Given information:
Given function
Calculation:
From the given interval, the domain of
Thus, the domain of
(b)
To locate: any intercepts of the given function.
(b)
Answer to Problem 38AYU
The
Explanation of Solution
Given information:
Given function
Calculation:
The
When
Substitute 0 for
The
Find the
Substitute 0 for
Solve for
The
(c)
To sketch: the graph of the given function.
(c)
Explanation of Solution
Given information:
Given function
Calculation:
First, graph the function
Choose any value of
Thus, one point is
Choose some for value for
5 | ||
4 | ||
3 | ||
0 | 2 |
Plot the points on a coordinate plane and join them using straight line, Since the point
Similarly, graph the function
Create a table.
1.41 | ||
2 | ||
2.23 |
Plot the points on the same coordinate plane and join them using a straight line.
(d)
To find: the range based on the graph.
(d)
Answer to Problem 38AYU
The range of
Explanation of Solution
Given information:
Given function
Calculation:
From the graph, the range of the given functions as the set of real numbers greater than 1. Thus, the range of
(e)
To find: whether
(e)
Answer to Problem 38AYU
The function
Explanation of Solution
Given information:
Given function
Calculation:
Now, at
Now, at
From the graph, it can be observed that there is a discontinuity at
Chapter 2 Solutions
Precalculus
Additional Math Textbook Solutions
Calculus & Its Applications (14th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus (10th Edition)
University Calculus: Early Transcendentals (4th Edition)
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