Answer:
C: x: 5, 2, 6, 4, 1, 3; y: 2, 2, 2, 2, 2, 2
Step-by-step explanation:
Things that can represent a function of x has to be able to be shown in the form of a function, such as "y =" or "f(x) =". I'm guessing you're learning about linear lines, so I'm going to talk about this with linear lines.
A linear line must be straight and for y to be represented as a function of x, it has to have a constant increase or decrease for every x. Here is how to identify non-function lines:
- If there are different y values for the same x value
- If the points in order do not create a straight line
- If the points in order do not have a repeating pattern
To identify a function, look for:
- Straight lines
- An actual written function (such as "y =" or "f(x) =")
- A pattern on a table
Now, the pattern you're going to be looking for on a linear table is an addition or subtraction one for every x. If the x values are in order, then for every 1 x, there should be a constant addition or subtraction to the y.
Here's an example of a table that represents y as a function of x:
- X: 1 2 3 4 5
- Y: 3 5 7 9 11
- Pattern: +2 y for every x with constant 1
- X: 3 1 5 4 7
- Y: 9 3 15 12 21
- Pattern: +3 y for every x with constant 0
Here's an example of a table that doesn't represent y as a function of x:
- X: 1 2 3 4 5
- Y: 2 5 8 2 4
- Pattern: None
- X: 3 1 5 1 7
- Y: 1 7 8 9 4
- Pattern: None
