Question

Find the y-coordinates for the following domain
D={-2,-1,0,1,2} a. y = 4x - 3

Answer 1

Please check the answer in detail below.

Explanation:

Given the equation

`y = 4x - 3`

As the domain is given as:

• D={-2,-1,0,1,2}

As domain is the set of all possible x-coordinate values. So putting the x values of the domain in the given equation to determine the y-coordinates.

Putting x = -2

`y = 4x - 3`

`y\:=\:4\left(-2\right)\:-\:3`

`y=-8-3`

`y=-11`

So the y-coordinate for x = -2 will be y = -11 i.e. (-2, -11)

Putting x = -1

`y = 4x - 3`

`y\:=\:4\left(-1\right)\:-\:3`

`y=-7`

So the y-coordinate for x = -1 will be y = -7 i.e. (-1, -7)

Putting x = 0

`y\:=\:4\left(0\right)\:-\:3`

`y=-3`

So the y-coordinate for x = 0 will be y = -3 i.e. (0, -3)

Putting x = 1

`y\:=\:4\left(1\right)\:-\:3`

`y=1`

So the y-coordinate for x = 1 will be y = 1 i.e. (1, 1)

Putting x = 2

`y\:=\:4\left(2\right)\:-\:3`

`y=5`

So the y-coordinate for x = 2 will be y = 5 i.e. (2, 5)

So the y-coordinates for the domain (D) can also be attributed as the range (R) such as:

R = {-11, -7, -3, 1, 5}