Q:

Is the relation a function? Select Yes or No for each relation.​

Accepted Solution

A:
Answers:a. Not a functionb. Functionc. Not a functiond. FunctionExplanation:For a relation to be called a function, each x-value MUST be associated with ONLY ONE y-valueIf any x-value has more than one y-value, then the relation is not a functionNow, let's apply this to the given relation:1- Relation A:(3,3) , (3,-2) , (-2,4) and (1,-6)We can note that x=3 has two different y-values. Therefore, this relation is not a function2- Relation B:(3,3) , (5,-2) , (-2,4) and (1,-2)We can note that each x-value is associated with only one y-value. Therefore, this relation is a function3- Relation C:(3,3) , (5,-2) , (-2,4) and (5,9)We can note that x=5 has two different y-values. Therefore, this relation is not a function4- Relation D:(3,3) , (5,-2) , (-2,4) and (4,9)We can note that each x-value is associated with only one y-value. Therefore, this relation is a functionHope this helps :)