(a)
To find: The period of the function
(a)
Answer to Problem 13E
The period of the function is
Explanation of Solution
Given information:
The given function is
Calculation:
The period of a function is given by
Consider the given function.
So, the period of the given function is:
Therefore, the period of the function is
(b)
To find: The domain of the function
(b)
Answer to Problem 13E
The domain of the function is all real
Explanation of Solution
Given information:
The given function is
Calculation:
The domain of a function is the set of all input values such that the function is defined.
The domain included all value of
The vertical asymptotes
Calculate the domain of the function.
So domain of the function is
Therefore, domain of the function is all real
(c)
To find: The range of the function
(c)
Answer to Problem 13E
The range of the function is
Explanation of Solution
Given information:
The given function is
Calculation:
The range of a function is the set of all output values.
It is known that the range of the tangent function is the set of all real numbers.So, the function
Therefore, the range of the function is
(d)
To graph:The function
(d)
Explanation of Solution
Given information:
The given function is
Graph:
To graph a function
First press “ON” button on graphical calculator, press
The display will show the equation,
Now, press the
Figure (1)
Interpretation: From the graph it can be noticed that three periods of the function are shown in the window.
Chapter 1 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
Calculus & Its Applications (14th Edition)
University Calculus: Early Transcendentals (4th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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