Functions, Functions, Functions

Front

What is a function in mathematics?

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 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 each input (x-value) is associated with exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

What is an example of a non-function relation?

Back

A relation where an input (x-value) is paired with multiple outputs (y-values), such as (1, 2) and (1, 3), is a non-function.

Tags

CCSS.8.F.A.1

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if any vertical line intersects the graph at more than one point, it is not a function.

Front

What is an input in the context of functions?

Back

An input is a value from the domain that is fed into a function to produce an output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is an output in the context of functions?

Back

An output is the result produced by a function after an input is processed.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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 input, meaning no two different inputs produce the same output.

Front

What is a many-to-one function?

Back

A many-to-one function is a function where multiple inputs can produce the same output.

Tags

CCSS.8.F.A.1