Question

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

Answer 1

Answer:

Please check the answer in detail below.

Step-by-step 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}