Identifying Functions

Front

What is a function in mathematics?

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.

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a curve is a graph of a function. If any vertical line intersects the graph at more than one point, then the graph does not represent a function.

Front

Can a function have multiple outputs for a single input?

Back

No, a function cannot have multiple outputs for a single input. Each input must correspond to exactly one output.

Tags

CCSS.8.F.A.1

Front

What is a mapping in the context of functions?

Back

A mapping is a way to describe how each element of one set (the domain) is paired with an element of another set (the codomain).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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

Back

A mapping represents a function if every input from the domain is associated with exactly one output in the codomain.

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 complete set of possible values of the independent variable (input) 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 (dependent variable) that the function can produce.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How can you determine if a graph represents a function?

Back

You can determine if a graph represents a function by using the vertical line test.

Front

What is an example of a non-function mapping?

Back

An example of a non-function mapping is a relation where an input is associated with multiple outputs, such as {(1, 2), (1, 3)}.

Tags

CCSS.8.F.A.1

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output, while a relation can have multiple outputs for a single input.

Tags

CCSS.8.F.A.1