Question 614372: Determine if the given relation is function or not. Give its domain and range.
16. (-1, 2), (1, 3), (-1, 4), (2, 5) 17. (1, 1), (2, 2), (3, 3), (4, 4)
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! 16. This is NOT a function, since there are TWO distinct points that have the same x coordinate: (-1,2) and (-1,4).
Domain is the set of all x values: {-1,1,2}
Range is the set of all y values: {2,3,4,5}
17. This IS a function, since each x value has its own unique y value.
Domain: {1,2,3,4}
Range: {1,2,3,4}
For a detailed explanation of Functions, Domain, and Range, please see my own website.
To find my website, use the easy-to-remember and easy-to-spell link www.mathinlivingcolor.com. Click on the link at the bottom of this page, which takes you to my Homepage. Near the top of the Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time", choose "Intermediate Algebra", and look in "Chapter 5" for non-traditional explanations that are probably easier to understand than your own textbooks. See also "College Algebra" and look in "Chapter 2".
See also my "Math in Living Color" sections for explanations and exercises that are solved in color. These pages are now ALL printer-friendly. Best of all, everything on the website, including practice tests for every course from Basic Algebra (First Level) to Calculus with detailed solution sheets, is FREE.
In the case of Functions, Domain, and Range, there are videos of me teaching this topic a few years ago before I retired. The videos also are FREE. To find the videos on this and other topics, look for the link near the top of my Homepage called "Rapalje Videos in Living Color." Then choose either Intermediate or College Algebra.
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
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