Concept explainers
a.
To Determine: The interval in which the function is increasing or decreasing.
The function is increasing on the interval of
The function is decreasing on the interval of
Given information:
Graph:
From the graph, it can be seen that the function
b.
To Determine: The function is odd, even or neither.
The function is even.
Given information:
Calculation:
A function is even if
Check if
Since
So, the function
c.
To Determine: The extrema of the function, if any.
The function has absolute minimum at
Given information:
Calculation:
Find the first derivative of the function.
Find the second derivative of the function.
To find the local maximum and minimum values of the function, set the derivative equal to
Set the first derivative equal to
Set the numerator equal to zero.
Exclude the solutions that do not make
Set the denominator in
Since there is at least one point with
Split
Substitute any number, such as
Substitute any number, such as
Since the first derivative changed signs from negative to positive around
And from the graph, it can be seen that the function
d.
To Determine: The graph of the function related to a graph of one of the twelve basic functions.
The graph is related to absolute value function.
Given information:
Calculation:
From the above graph, it can be seen that the function
Chapter 1 Solutions
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
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