Question

If y = 5x − 4, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs? (4 points)

Select one:

a. {(0, −4), (2, 6), (4, 20)}

b. {(0, −4), (2, 6), (4, 16)}

c. {(0, 4), (2, 6), (4, 16)}

d. {(0, 4), (2, −6), (4, 20)}


THX

Answer 1

b is the correct answer, obtained by plugging in all the vslued

Answer 2

`{(0, -4), (2, 6), (4, 16)}`

Explanation:

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

we have

`y=5x-4`

case A)
`{(0, -4), (2, 6), (4, 20)}`

Point
`(0, -4)`

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

`-4=5(0)-4`

`-4=-4` -----> is true

Point
`(2, 6)`

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

`6=5(2)-4`

`6=6` -----> is true

Point
`(4, 20)`

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

`20=5(4)-4`

`20=16` -----> is not true

therefore

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

case B)
`{(0, -4), (2, 6), (4, 16)}`

Point
`(0, -4)`

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

`-4=5(0)-4`

`-4=-4` -----> is true

Point
`(2, 6)`

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

`6=5(2)-4`

`6=6` -----> is true

Point
`(4, 16)`

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

`16=5(4)-4`

`16=16` -----> is true

therefore

The set case B) represent possible inputs and outputs of the function

case C) [tex{(0, 4), (2, 6), (4, 16)}[/tex]

Point
`(0, 4)`

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

`4=5(0)-4`

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

therefore

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

case D)
`{(0, 4), (2, -6), (4, 20)}`

Point
`(0, 4)`

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

`4=5(0)-4`

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

therefore

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