Question 1205597: Use the set of ordered pairs to determine whether the relation is a function. Then find the domain of the relation, and the range of the relation.
{(-5,-5),(-3,5),(-3,2),(7,7),(9,4)}
The domain of the relation is (Enter the domain elements, separated by commas)
The range of the relation is (Enter the range elements, separated by commas)
Found 2 solutions by MathLover1, math_tutor2020:
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! {(-5,-5),(-3,5),(-3,2),(7,7),(9,4)}
since  produces  and  , the relation is  a function
domain:  , , ,
range: , , , ,
Answer by math_tutor2020(3817)  (Show Source):
You can put this solution on YOUR website! Domain = set of x coordinates = -5, -3, 7, 9
Often we surround a collection of numbers in curly braces to denote a set.
However, your teacher may or may not want these surrounding items. I would ask for clarification.
Range = set of y coordinates = -5, 5, 2, 7, 4
Is it a function? No. Why not? Because the input x = -3 leads to more than one output (y = 5 and y = 2). In other words, the x coordinate -3 repeats which is an indication we don't have a function. The output values can repeat but the function wouldn't be one-to-one (aka injective).
A function requires each input leads to exactly one and only one output.
One input ----> one output.
Visually you can use the vertical line test to check if it's a function or not.
|
|
|
