The set of ordered pairs in the mapping below can be described as which of the following?

0 - 8

3 - 2

6 - -1

(1) a relation only

(2) a function only

(3) both a relation and a function

(4) neither a relation nor a function

"(3)"

Step-by-step explanation:

Relation is a mapping between x-values and y-values. Xs are the domain and Ys are the range.

Given x values (0,3,6) and y-values(8, 2, -1), this is a relationship, so it is a relation.

To check whether a relation is a function or not, we simply see if each unique x value is paired with a unique y value.

Is there any y value that is same for x-values? NO! All are different. So this is a function as well!

Answer choice (3) is right.

(3) both a relation and a function

Step-by-step explanation:

Relation : It is the relation established between two set of values

Function : It is a kind of relation, where only output exist for e ach input.

Generally x values presents input values and y values represents the output values.

The given table :

x -  y

0 - 8

3 - 2

6 - 1

Here, each x value is related to a y-value , so its a relation.

Also, there only one unique y-value for each x-values, thus its a function.

Hence, the set of ordered pairs in the mapping below can be described as  both a relation and a function.

36

step-by-step explanation:

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2