We are asked to represent the

following function on the coordinate plane. And they give us domain, and

then they give us a range, a set of values that our

function can take on. And the way the question has

been phrased, I’m assuming they assume that the negative 8

maps to the 4, the negative 6 maps to the 3, the negative 4

maps to the 2, the negative 2 maps to 1, and the

0 maps to 0. Because you could have another

function with this exact same domain, and this exact same

range, where the mapping is different, where negative

8 maps to 3, and negative 6 maps to 4. So this domain and this

range could be for many different functions. But when they say represent the

following function, I’m assuming that they want us to

assume that they’re kind of in order, the pairing. So let’s just graph this

function, or represent it using their terminology. So let me draw some axes here. So this is the domain, the

independent variable, just like that, often known as the

x-axis or the horizontal axis. And all of our domain, all of

the values, these are all non-positive numbers, so let

me give a lot more space to quadrant II. All of our range are

positive numbers. They’re going to be hanging out

in the top left quadrant, or quadrant II, just

like that. And the values that my domain

can take on are 0 through negative 8, and every even

negative number. So it’s 0, let me do it like

this, so 0 is there. And then we have negative 2,

negative 4, negative 6, and then we have negative

8 just like that. And then our range goes

from 0 through 4. So this is 0, then you have 1,

then you have 2, then you have 3, and then you have 4. So if we assume the mapping,

that if you give this function a negative 8, it’s going

to map to 4, then we can plot it here. So if we take this first pair

right there, you give me a negative 8, this function

is going to give me a 4. So negative 8, 4 is that

point right there. So if you imagine that this is

the x-axis, this would be the f of x axis, if we’re assuming

that f is this function. You give me a negative

6, I’ll give you a 3. Negative 6 and 3. You give me a negative 4, this

function will pop out a 2. Negative 4 comma 2. And then you give a negative

2, this function will pop out a 1. F of negative 2 is 1. And then finally, f of 0 is 0. So we’ll just plot

it right there. So that’s the function. I’ve represented it. And remember, I just assumed

that negative 8 maps to 4, negative 6 maps to 3, but you

could have multiple functions that have this domain

and range. But just the way that they said

the following function, I’m assuming this is what

they want us to do.