How do you know if a set of numbers representations are functions?

Answer 1

To determine if a set of number representations is a function, you need to check if each input is associated with exactly one output.

Here are the steps to follow:

1. Identify the set of inputs: Look at the given set of numbers and determine which ones are inputs. Inputs are the values you can substitute into the function to get an output.

2. Identify the set of outputs: Observe the corresponding numbers for each input. These corresponding numbers are the outputs.

3. Check for the uniqueness of outputs: Ensure that each input is associated with exactly one output. In other words, no input should have multiple outputs.

If each input has a unique output, then the set of number representations can be considered a function. If there are any inputs with multiple outputs, it is not a function.

It is worth mentioning that a function can be represented in various ways, such as in a table, graph, or equation. Nonetheless, the key aspect is that each input corresponds to a unique output.