Identifying 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

How can you identify a function from a graph?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph represents a function by checking if any vertical line crosses the graph more than once.

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

What defines a set of ordered pairs as a function?

Back

A set of ordered pairs is a function if no two different pairs have the same first element (input).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing 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, but each input must map to 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

Is the set {(1, 2), (1, 3), (2, 4)} a function?

Back

No, because the input '1' is associated with two different outputs (2 and 3).

Front

Is the set {(3, 5), (4, 5), (5, 6)} a function?

Back

Yes, because each input (3, 4, 5) is associated with exactly one output.