Is the relation a function? Select Yes or No for each relation.
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Answers:
a. Not a function
b. Function
c. Not a function
d. Function
Explanation:
For a relation to be called a function, each x-value MUST be associated with ONLY ONE y-value
If any x-value has more than one y-value, then the relation is not a function
Now, 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 function
2- 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 function
3- 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 function
4- 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 function
Hope this helps :)
Answer:
Choice b and d are functions, and choice a and c are not functions.
Step-by-step explanation:
We have given different relations.
We have to find which are the functions.
A function is the relation that assign each input a single output.
So, from the definition, the relation b and d are functions.
But the choice a and c are not a function because at least one input has two outputs.
For example, in choice c,the input 5 has two outputs -2 and 9 so, it is not a function.