Question

For number 1 through 3 identify if they are a function or not a function.

Answer 1

1) function

2) not a function

3) not a function

Explanation:

1) Although point (2,-4) is repeated, it is still a function since the output, y=-4, is still specific with its input, x=2.

2) (-6,-2) and (5,-2) makes this not a function. The output, y=-2, needs to have one specific input of x. If, both x were the same number, it would be a function.

3) It is not a function because it does not pass the vertical line test. This means that for there is one y output for each input x. This example shows many outputs for one input.