SOLUTION: How do you find the domain and range for the following Points?
{(1,3) (1,0) (1,-2) ( 1,8)} And is it a function. Thank you
Algebra.Com
Question 232209: How do you find the domain and range for the following Points?
{(1,3) (1,0) (1,-2) ( 1,8)} And is it a function. Thank you
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The domain is the set of values that can be taken by the independent or input variable -- generally the 
.
You have four ordered pairs in your set, and all of the -coordinates are equal to 1. Therefore the domain is 
.
The range is the set of all values of the dependent variable resulting from all values of the independent variable. Therefore the range is 
, which are the four 
-coordinates.
A relation is a function if and only if every element in the domain corresponds to one and only one element in the range. Here you have the element 1 in the domain that corresponds to 4 different elements in the range. Not a function. If you graphed these four points, you would find that you would be able to draw a vertical line that would contain more than one of the points (in fact, the line would contain all four points). Any time you can find such a vertical line, your relation is NOT a function.
John
RELATED QUESTIONS
Determine whether the relation is a function. If it is a function, state its domain... (answered by stanbon)
can u give a diagram, give me the domain and the range. plus
how do u now which is a... (answered by rmromero)
What is the range of y = 1 - x2; Domain = {-1, 0, 1}
&&
y = 4x - x2; Domain = {-1,... (answered by Fombitz)
how do you find the domain and range in a table....
x 1 3 5 7 9
y 0 1 2 3... (answered by quentin252)
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range
(answered by ikleyn)
Determine whether the set S = {( –3, 1), (–2, 1), (–1, 0), (0, 1)} defines a function. If (answered by THANApHD)
How do I find the domain and the range. f(x) = ³√x - 1. Thank... (answered by LinnW)
Consider the relation given by ( - 1, 0), (2, - 1), ( - 2, 1), (0, 3).
a)... (answered by Boreal)
Can you please help me with this problem: Find each value given that f(x)=2x+1... (answered by venugopalramana,rapaljer)