Functions, Functions, Functions

Front

What is a function in mathematics?

Back

A function is a relation where every input has 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 intersects the graph at most once.

Front

What is the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function may have multiple outputs for a single input.

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 the function.

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.

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each output is produced by exactly one input.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if a vertical line intersects the curve more than once.

Front

What is an example of a function?

Back

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

Front

What is an example of a non-function?

Back

An example of a non-function is the relation defined by y^2 = x, which has two outputs for some inputs.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs of a function.