Question

If y = 5x − 3, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

{(2, 5), (−3, −12), (−4, −18)}
{(−1, −8), (0, −3), (3, 12)}
{(1, 4), (7, 25), (3, 10)}
{(5, 20), (6, 12), (1, 9)}

Answer 1

Row 2 "{(-1, -8), (0, -3), (3, 12)}"

Answer 2

`{(-1, -8), (0, -3), (3, 12)}`

Explanation:

we have

`y=5x-3`

we know that

If a set of ordered pairs represent possible inputs and outputs of the function

then

All ordered pairs of the set must be satisfy the function

case A)
`{(2, 5), (-3, -12), (-4, -18)}`

Substitute the value of x and y of each point in the function

Point 1
`(2, 5)`

`5=5(2)-3`

`5=7` -------> is not true

The set of case A does not represent possible inputs and outputs of the function

case B)
`{(-1, -8), (0, -3), (3, 12)}`

Substitute the value of x and y of each point in the function

Point 1
`(-1, -8)`

`-8=5(-1)-3`

`-8=-8` -------> is true

Point 2
`(0, -3)`

`-3=5(0)-3`

`-3=-3` -------> is true

Point 3
`(3, 12)`

`12=5(3)-3`

`12=12` -------> is true

The set of case B represents possible inputs and outputs of the function

case C)
`{(1, 4), (7, 25), (3, 10)}`

Substitute the value of x and y of each point in the function

Point 1
`(1,4)`

`4=5(1)-3`

`4=2` -------> is not true

The set of case C does not represent possible inputs and outputs of the function

case D)
`{(5, 20), (6, 12), (1, 9)}`

Substitute the value of x and y of each point in the function

Point 1
`(5,20)`

`20=5(5)-3`

`20=22` -------> is not true

The set of case D does not represent possible inputs and outputs of the function