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
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-> 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
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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):
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.
