Functions, Functions, Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Tags

CCSS.8.F.A.1

Front

What is the definition of 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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the definition of 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

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 does it mean if a relation is not a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Tags

CCSS.8.F.A.1

Front

What is the significance of the x-values in a function?

Back

The x-values in a function are the inputs, which determine the corresponding y-values (outputs).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the significance of the y-values in a function?

Back

The y-values in a function are the outputs, which result from applying the function to the x-values (inputs).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value has a unique corresponding y-value.

Tags

CCSS.8.F.A.1

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, where the input 1 has two different outputs.

Tags

CCSS.8.F.A.1

Front

What is the notation used to represent the domain of a function?

Back

The domain of a function is often represented using the notation D: {x | x is in the set of inputs}.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1