In Problems 31-42:
(a) Find the domain of each function.
(b) Locate any intercepts.
(c) Graph each function.
(d) Based on the graph, find the range.
To find: The following values of the function, :
a. Domain of the function .
Answer to Problem 40AYU
Solution:
a. Domain of the function : As there is no restriction, it can take all the real values.
Explanation of Solution
Given:
The function is: .
It is asked to find the domain and intercepts of the function . Also, sketch the function and conclude its range from it.
a. Domain of the function : As there is no restriction, it can take all the real values.
To find:The following values of the function, :
b. Intercepts of the function if any.
Answer to Problem 40AYU
Solution:
b. Intercepts of the function if any: .
Explanation of Solution
Given:
The function is: .
It is asked to find the domain and intercepts of the function . Also, sketch the function and conclude its range from it.
b. Intercepts: The of the graph of the function is . Because the equation for when is , the is . When takes all the values from 0 to 1 excluding 0, results the as 0. Therefore, the is for
To find: The following values of the function, :
a. Graph of the function .
Answer to Problem 40AYU
Solution:
c. Graph of the function :
Explanation of Solution
Given:
The function is: .
It is asked to find the domain and intercepts of the function . Also, sketch the function and conclude its range from it.
c.
To find: The following values of the function, :
d. Range of the function based on its graph.
Answer to Problem 40AYU
Solution:
d. Range of the function based on its graph: The range takes the set of all integers.
Explanation of Solution
Given:
The function is: .
It is asked to find the domain and intercepts of the function . Also, sketch the function and conclude its range from it.
d. From the graph, it can be easily predicted that the range takes the set of all integers.
Chapter 2 Solutions
Precalculus Enhanced with Graphing Utilities
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