Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

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 range of a function?

Back

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

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input is associated with exactly one output.

Front

Identify if the following set is a function: (1,2), (2,3), (3,4), (1,5)

Back

Not a Function (the input '1' is associated with two different outputs: 2 and 5).

Front

Identify if the following set is a function: (2,3), (3,4), (4,5)

Back

Function (each input is associated with exactly one output).

Front

What is a vertical line test?

Back

A method to determine if a relation is a function by checking if any vertical line intersects the graph more than once.

Front

What is an example of a function in real life?

Back

A vending machine is a function; for each button (input), there is one specific item (output).

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is associated with exactly one input.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form y = mx + b.