5-1 Identify Functions

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

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 does it mean for a mapping diagram to represent a function?

Back

A mapping diagram represents a function if each input is connected to exactly one output.

Front

What is an ordered pair in the context of functions?

Back

An ordered pair is a pair of numbers (x, y) where 'x' is the input and 'y' is the output of a function.

Front

How can you determine if a set of ordered pairs is a function?

Back

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

Front

What is the definition of a non-function?

Back

A non-function is a relation where at least one input is associated with more than one output.

Front

What is the significance of the output in a function?

Back

The output in a function is the result obtained after applying the function to an input.

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 have only one output.

Front

What is a mapping in the context of functions?

Back

A mapping is a way to describe how each input is paired with an output in a function.

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.