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

How can you determine if a graph represents a function?

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 definition of a mapping diagram?

Back

A mapping diagram visually represents the relationship between input values and output values, showing how each input is paired with an output.

Front

What does it mean for an input to have multiple outputs in a relation?

Back

If an input has multiple outputs, the relation is not a function because a function must assign exactly one output to each input.

Front

Identify whether the following set of ordered pairs is a function: {(2,3), (3,4), (2,5)}

Back

Not a function, because the input '2' has two different outputs (3 and 5).

Front

What is the significance of the 'x' value in a function?

Back

The 'x' value (input) determines the corresponding 'y' value (output) in a function.

Front

What is the definition of ordered pairs?

Back

Ordered pairs are pairs of numbers (x, y) that represent coordinates on a graph, where 'x' is the input and 'y' is the output.

Front

What is the Vertical Line Test?

Back

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

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 an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each input x gives a unique output.