Functions, Functions, 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 is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

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 relation to be a function?

Back

A relation is a function if every input is associated with exactly one output.

Front

What is an independent variable?

Back

An independent variable is a variable that represents the input values of a function, typically denoted as x.

Front

What is a dependent variable?

Back

A dependent variable is a variable that represents the output values of a function, typically denoted as y.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between the input values and output values of a function.

Front

How can you determine if a graph represents a function?

Back

You can use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is a one-to-one function?

Back

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

Front

What is a relation?

Back

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