Question

What must be true in order for a relation to be a "function"?

a) In order to be a function every output must have only one input
b) In order to be a function every input must have only one output
c) In order to be a function, it must be a straight line
d) In order to be a function we have to check for repeating y-values when we see a table

Answer 1

b) In order to be a function every input must have only one output

Step-by-step explanation:

In a function, no two points can have the same x-coordinate, or input.

Answer:

b) In order to be a function every input must have only one output

Answer 2

In order for a relation to be a function, every input must have only one output.

Step-by-step explanation:

In order for a relation to be a function, every input must have only one output.

This means that for each x-value, there can only be one corresponding y-value.

For example, if we have a relation where (1, 2) and (1, 3) are both points, this would not be a function because the input value of 1 has two different output values.