Functions (general)

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the definition of a domain in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (input).

Front

What is the definition of a range in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (output).

Front

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

Back

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

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: {(1,2), (2,3), (3,4)}

Back

Function, because each input has exactly one output.

Front

What is a vertical line test?

Back

A method to determine if a relation is a function by checking if a vertical line intersects the graph at more than one point.

Front

What is an example of a function in real life?

Back

The relationship between the amount of money spent and the number of items purchased at a store.

Front

What is an example of a non-function?

Back

A relationship where one input corresponds to multiple outputs, such as a person's name and their multiple phone numbers.

Front

What is a one-to-one function?

Back

A function where each output is paired with exactly one input, meaning no two different inputs produce the same output.