Concept explainers
a.
Find the domain and range of
a.
Answer to Problem 94E
Domain
Explanation of Solution
Calculation:
Let us consider the following function
From the graph we can see that there is a closed and an open dot.
The open dot that is,
This implies
The closed dot this is,
This implies
The graph does not extend beyond these points.
Hence, the domain becomes
We now find the range of the function.
As the point
This implies
Also, the point
This implies
The graph does not extend beyond these points.
Hence, the range beccomes
b.
Find the zero(s) of
b.
Answer to Problem 94E
Explanation of Solution
Calculation:
Let us consider the following function
We know zeros are those values of
From the graph, we see that when
That is,
Hence the zeros of the function are
c.
Determine the open intervals on which
c.
Answer to Problem 94E
The function is increasing over the interval
The function decreases over the interval
Explanation of Solution
Calculation:
Let us consider the following function
Let
Without loss of generality, we assume
If a function
If a function
If a function
Using above definitions, we conclude that
Hence, the function is increasing over the interval
Hence, the function decreases over the interval
d.
Approximate relative minimum value of
d.
Answer to Problem 94E
Explanation of Solution
Calculation:
Let us consider the following function
We consider an interval
Let
If a function
If a function
Using above definitions and the graph, we conclude that
Hence, the relative minimum point is approximate at
e.
Is
e.
Answer to Problem 94E
It is neither odd nor even function.
Explanation of Solution
Calculation:
Let us consider the following function
A function
A function
As the function is not symmetric,
Hence, it is neither odd nor even function.
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning