Functions

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 'not a function'?

Back

A relation is not a function if at least one input is related to more than one output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If any 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 used to represent a point in a coordinate system, typically written as (x, y).

Front

Which of the following is a function: (2, 3), (2, 4), (3, 5) or (1, 2), (2, 3), (3, 4)?

Back

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

Front

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

Back

A set of values is a function if each input corresponds to exactly one 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 difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output, while a relation can have multiple outputs for a single input.

Front

What is an example of a function in real life?

Back

An example of a function in real life is a vending machine: each button (input) corresponds to one specific item (output).

Front

What is the domain of a function?

Back

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