introduction to 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

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

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once.

Front

What is a mapping in mathematics?

Back

A mapping is a way to pair each element of one set with an element of another set, often used to define functions.

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 by checking if a vertical line crosses the graph more than once.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can include functions but does not have to.

Front

How can you tell if a table represents a function?

Back

A table represents a function if each input value corresponds to exactly one output value.

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 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.

Front

What is a non-function?

Back

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