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 more than once, it is not a function.

Front

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

Back

A graph represents a function if every x-value (input) corresponds to exactly one y-value (output).

Front

How can you tell 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 (x-value).

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

What is the definition of a one-to-one function?

Back

A one-to-one function is a function where each output is paired with exactly one input, meaning no two different inputs produce the same output.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has a unique output, while a relation can have multiple outputs for a single 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 it cannot have the same input mapping to multiple outputs.

Front

What is the domain of a function?

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 the range of a function?

Back

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