(a)
To find: The period of the function
(a)
Answer to Problem 14E
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 14E
The domain of the function is
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 sine function is defined for all real values of
Therefore, the domain of the function is
(c)
To find: The range of the function
(c)
Answer to Problem 14E
The range of the function is
Explanation of Solution
Given information:
The given function is
Calculation:
It is known that the sine function lies between
The amplitude of the given function is
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 two periods of the function are shown in the window.
Chapter 1 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Precalculus
Calculus: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (3rd Edition)
Calculus and Its Applications (11th Edition)
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