Concept explainers
a.
To find the value of
a.
Answer to Problem 12RE
The answer is
Explanation of Solution
Given:
The graph of function f is given.
Concept Used:
The concept of graphing of functions is used.
In the graph, when x = -2 , y = -1. So
b.
To find the domain of f .
b.
Answer to Problem 12RE
The domain of
Explanation of Solution
Given:
The graph of function f is given.
Concept Used:
The concept of domain of functions is used.
In the graph, x can take values between -4 and 5, both included. Hence the domain of f = [-4, 5].
c.
To find the range of f .
c.
Answer to Problem 12RE
The range of
Explanation of Solution
Given:
The graph of function f is given.
Concept Used:
The concept of range of functions is used.
In the graph, y can take values between -4 and 4, both included. Hence the range of f = [-4, 4].
d.
To tell the intervals where f is increasing and decreasing.
d.
Answer to Problem 12RE
The intervals where f is increasing are: (-4, -2) and (0, 4).
The intervals where f is decreasing are: (-2, 0) and (4, 5).
Explanation of Solution
Given:
The graph of function f is given.
Concept Used:
The concept of increasing and decreasing functions is used.
The intervals where f is increasing are: (-4, -2) and (0, 4).
The intervals where f is decreasing are: (-2, 0) and (4, 5).
e.
To find the
e.
Answer to Problem 12RE
The local maximum value of f = 4 at x=4.
Explanation of Solution
Given:
The graph of function f is given.
Concept Used:
The concept of local maximum value of functions is used.
The local maximum value of f =4 at x=4.
e.
To check if
e.
Answer to Problem 12RE
No, f is not one to one.
Explanation of Solution
Given:
The graph of function f is given.
Concept Used:
The concept of one to one functions is used.
In the graph of f, f(-2)=f(0). Hence the function f is not one to one.
Chapter 2 Solutions
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