Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
RELATIONS & FUNCTIONS Worksheet. 1. Using the vertical line test, determine if the graph above shows a relation, a function, both a relation and a.
Typology: Study notes
1 / 19
This page cannot be seen from the preview
Don't miss anything!
Using the vertical line test, determine if the graph above shows a relation, a function, both a relation and a function, or neither a relation nor a function.
A. neither a relation nor a function B. relation only C. both a relation and a function D. function only
2. Which of these graphs represents a function?
3. Which of these t-tables represents a function?
6. Do the ordered pairs below represent a relation, a function, both a relation and a function, or neither a relation nor a function?
(-2,-1) , (1,-4) , (7,-10) , (8,-11)
A. neither a relation nor a function B. both a relation and a function C. relation only D. function only
Determine whether this picture is an example of a function, relation, function and relation, or neither relation nor function.
A. function and relation B. function only C. relation only D. neither function nor relation
8. Which relation diagram represents a function?
9. Which of the following relations describes a function?
11. Which relation diagram represents a function?
12. Which of the following relations describes a function?
13. Which of these mappings is a function?
14. Which of these graphs represents a function?
17. Think about the vertical line test and answer the following question. Would a vertical line be a relation, a function, both a relation and a function, or neither a relation nor a function?
A. function only B. both a relation and a function C. neither a relation nor a function D. relation only
18. Which of the following graphs is not a function?
19. Which of these t-tables represents a function?
20. Which of the following relations describes a function?
22. Which relation diagram represents a function?
Determine whether this picture is an example of a function, relation, function and relation, or neither relation nor function.
A. neither function nor relation B. relation only C. function only D. function and relation
24. Do the ordered pairs below represent a relation, a function, both a relation and a function, or neither a relation nor a function?
(-4,-3) , (1,-8) , (-4,-14) , (9,-16)
A. function only B. both a relation and a function C. neither a relation nor a function D. relation only
A function is a relation in which each element of the domain is paired with EXACTLY one element of the range.
The Vertical Line Test: Given the graph of a relation, if a vertical line can be drawn that crosses the graph in more than one place, then the relation is not a function.
The graph does not pass the vertical line test; therefore, the graph is not a function, and it is a relation only.
The only graph given that passes the vertical line test is Y.
The t-table Y is the only table that does not show a domain element paired with two or more range elements.
The only graph given that passes the vertical line test is Y.
The set of ordered pairs { (-2, -3), (-3, -2), (2, 3), (3, 2) } is the only set that does not pair a domain element with two or more range elements.
A function is a relation in which each element of the domain is paired with EXACTLY one element of the range.
In this case, there is one y -coordinate for every x -coordinate.
The vertical line test can be used to determine this.
Therefore, it is both a relation and a function.
A function is a relation in which each element of the domain is paired with EXACTLY one element of the range.
The Vertical-Line Test: Given the graph of a relation, if a vertical line can be drawn that does not cross the graph in more than one place, it is a function.
Any vertical line drawn where x > -4 will cross the graph in more than one place.
Therefore, the graph is not a function, it is a relation only.
Therefore, diagram W represents a function.
The set of ordered pairs { (2, 2), (3, 2), (4, 2), (5, 2) } is the only set that does not pair a domain element with two or more range elements.
The only graph given that passes the vertical line test is Y.
Therefore, diagram W represents a function.
The set of ordered pairs { (-2, 2), (-1, 1), (1, 1), (2, 2) } is the only set that does not pair a domain element with two or more range elements.
The only mapping that does not map a domain element to two or more range elements is Z.
The only graph given that passes the vertical line test is Z.
The only mapping that does not map a domain element to two or more range elements is Z.
A function is a relation in which each element of the domain is paired with EXACTLY one element of the range.
In the table below, there are two y -coordinates for the x -coordinate -10. Therefore, it is a relation only and not a function.
x
y 34 32 40 34
A function is a relation in which each element of the domain is paired with EXACTLY one element of the range.
The Vertical Line Test: Given the graph of a relation, if a vertical line can be drawn that crosses the graph in more than one place, then the relation is not a function.
Since the graph does not pass the vertical line test, it is not a function, it is a relation only.
A function is a relation in which each element of the domain is paired with EXACTLY one element of the range.
There are two y -coordinates (range element) when x = -4.
Therefore, it is a relation only.
The t-table Y is the only table that does not show a domain element paired with two or more range elements.
