Question

Graph the relation. Is the relation a function? Why or why not? {(–5, 6), (–2, 3), (3, 2), (6, 4)} No; a domain value has two range values. Yes; there is only one range value for each domain value. No; a range value has two domain values. Yes; there is only one domain value for each range value.

Answer 1

Answer:

Yes; there is only one range value for each domain value

Step-by-step explanation:

A relation can be defined as a function f(x) if for each value of the domain of x, there exists a unique value of f(x).

For example

(2, 4)(3, 9)(-2, 4)(4, 16) Is a Function

(2, 4)(2,6)(3, 8)(3, -8) Is Not a Function

To analyze if the relationship shown is a function, you must observe that each value of the domain has a single value of the range assigned.

For the given points {(-5, 6), (-2, 3), (3, 2), (6, 4)} this requirement is satisfied. Therefore, the relationship is a function. The graph is shown in the attached image.

The correct option is: Yes; there is only one range value for each domain value

Answer 2

Answer:

Yes; there is only one range value for each domain value.

Step-by-step explanation:

Let, R = {(-5, 6), (-2, 3), (3, 2), (6, 4)} is a relation,

Since, a relation is called a function if there is only one output value for each input value,

Here, the image of -5 is 6,

Image of -2 is 3,

Image of 3 is 2,

Image of 6 is 4,

That is, there is only one output value for each distinct input value,

Thus, R is a function,

Now, the input value is called domain value and output value is called range value,

Hence, SECOND OPTION is correct.