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 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 Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a curve is a graph of a function. If a vertical line crosses the graph more than once, it is not a function.

Front

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

Back

A mapping represents a function if each input (domain) is paired with exactly one output (range).

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 are ordered pairs in the context of functions?

Back

Ordered pairs are pairs of numbers (x, y) where 'x' is the input and 'y' is the output of a function.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is paired with exactly one unique input.

Front

What is a many-to-one function?

Back

A many-to-one function is a function where multiple inputs can produce the same output.

Front

What is a function's domain?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is a function's range?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.