(a)
To find: The x -intercepts of the graph.
(a)
Answer to Problem 52E
At origin, at every integer multiple of
Explanation of Solution
Given information: Critical Thinking: Consider the graph of
Calculation:
The
(b)
To find: The maximum value of y .
(b)
Answer to Problem 52E
The maximum value of y is 2
Explanation of Solution
Given information: Critical Thinking: Consider the graph of
Calculation:
The maximum value for this equation can be seen by the coefficient of the trigonometric function.
Thus, the maximum value of y is 2.
(c)
To find: The minimum value of y .
(c)
Answer to Problem 52E
The maximum value of y is − 2
Explanation of Solution
Given information: Critical Thinking: Consider the graph of
Calculation:
The minimum value for this equation can be seen by the negative counterpart of the coefficient of the trigonometric function.
Thus, the maximum value of y is − 2.
(d)
To find: The period of the function.
(d)
Answer to Problem 52E
The period of the function is
Explanation of Solution
Given information: Critical Thinking: Consider the graph of
Calculation:
Period for the sine is depicted by
Thus, the period of the function is
(e)
To graph: The function.
(e)
Answer to Problem 52E
The graph
Explanation of Solution
Given information: Critical Thinking: Consider the graph of
Calculation:
Substitute x values within the given intervals into the given equation to acquire y values,
Now pair up the respective x and y values to form coordinates points. Plot the coordinate points and connect the points to create the graphed function.
The graph:
(f)
To graph: The effect of 2 in the equation on the graph.
(f)
Answer to Problem 52E
The coefficient transforms the graph by vertically stretching the graph by a factor of that coefficient
Explanation of Solution
Given information: Critical Thinking: Consider the graph of
Calculation:
The coefficient plays a role in transforming the graph.
The coefficient transforms the graph by vertically stretching the graph by a factor of that coefficient.
Chapter 6 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
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