Identifying Functions

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What are inputs in a function?

Back

Inputs are the x-values in a function, which are the values you can put into the function.

Front

What are outputs in a function?

Back

Outputs are the y-values in a function, which are the results you get after applying the function to the inputs.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) of a function.

Front

What is a relation?

Back

A relation is a set of ordered pairs, which can include functions but may also include pairs where an input has multiple outputs.

Front

What does it mean for a set of ordered pairs to be a function?

Back

A set of ordered pairs is a function if no two pairs have the same first element (x-value) with different second elements (y-values).

Front

Identify the function: {(1,2), (2,3), (1,4)} or {(1,2), (2,3), (3,4)}?

Back

{(1,2), (2,3), (3,4)} is a function because each x-value is unique.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for a function.

Front

What is the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function can have multiple outputs for the same input.