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Concept explainers
(a)
The slope and y- intercept of the function.
(a)
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Answer to Problem 1RE
The slope of the function and y - intercept is
Explanation of Solution
Formula used:
A linear function is a function of the form
Calculation:
Consider the given function
Comparing the given function
That is,
Thus, the slope of the function and y - intercept is
(b)
The average rate of change of the function.
(b)
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Answer to Problem 1RE
The average rate of change of the function is
Explanation of Solution
Formula used:
Linear functions have a constant average rate of change. That is, the average rate of change of a linear function
Calculation:
Consider the given function
Comparing the given function
That is,
Thus, the average rate of change of the function is
(c)
To sketch: The graph of the function.
(c)
![Check Mark](/static/check-mark.png)
Explanation of Solution
Construct the table for the intercepts as shown below.
x | |
0 | –5 |
0 |
Draw the graph of the function
From Figure 1, it is observed that the function is a straight line and the line intercepts at
(d)
To check: The function is increasing, decreasing or constant.
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 1RE
The function is
Explanation of Solution
Theorem used:
A linear function
Calculation:
Consider the given function
Comparing the given function
That is,
Thus, the function is
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Chapter 4 Solutions
College Algebra Enhanced with Graphing Utilities (7th Edition) (Sullivan Enhanced with Graphing Utilities Series)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
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