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

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input is associated with multiple outputs.

Front

Identify if the following set is a function: {(1,2), (2,3), (1,4)}

Back

Not a function, because the input '1' has two outputs (2 and 4).

Front

Identify if the following set is a function: {(3,5), (4,5), (5,5)}

Back

Function, because each input has exactly one output.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system.

Front

What is a mapping diagram?

Back

A visual representation of a function that shows how each input is paired with an output.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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