Question

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

Answer 1

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 2

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.