Question

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

Answer 1

Answer:

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

Step-by-step 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

Answer 2

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