Concept explainers
Use a table of values to graph each equation.
Answer to Problem 4QC
The domain is all real numbers. The range is all real numbers.
Explanation of Solution
Given:
The equation:
Concept Used:
A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is sometimes called a straight line or, more archaically, a right line, to emphasize that it has no "wiggles" anywhere along its length.
The domain of a function is the complete set of possible values of the independent variable. The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
The range of a function is the complete set of all possible resulting values of the dependent variable ( y, usually), after we have substituted the domain.
Calculation:
The equation:
Make table to get some points on the graph
x | (x, y) | |
0 | (0, − 1) | |
− 1 | ( − 1 ,− 1.5 ) | |
−2 | (− 2 , 0 ) | |
1 | (1,− 0.5 | |
2 | (2, 0) |
Graph the ordered pairs, and connect them to create a smooth straight line. The straight line is having x and y intercept at x = 2 and y = − 1. Extended both sides to infinity
Slope − intercept form of a straight line is y = mx + b
Where m is the slope of the line and b is the y − intercept. The graph is a straight line with a slope 0.5 The domain is all real numbers. The range is all real numbers. |
Thus, the domain is all real numbers. The range is all real numbers.
Chapter 9 Solutions
Algebra 1
Additional Math Textbook Solutions
Elementary Algebra
College Algebra
College Algebra
Linear Algebra and Its Applications (5th Edition)
College Algebra (7th Edition)
- 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