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

Answer:

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

Step-by-step 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