Identifying Functions

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

What is the definition of '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

How can you determine if a set of ordered pairs represents a function?

Back

Check if any x-value is repeated with different y-values. If so, it is not a function.

Tags

CCSS.8.F.A.1

Front

What is a mapping diagram?

Back

A visual representation that shows how each input is paired with an output. It helps to identify functions.

Front

What does the vertical line test indicate?

Back

If a vertical line intersects a graph at more than one point, the relation is not a function.

Tags

CCSS.8.F.A.1

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only one y-value.

Tags

CCSS.8.F.A.1

Front

What is an example of a function?

Back

The relation {(1, 2), (2, 3), (3, 4)} is a function because each x-value has one unique y-value.

Tags

CCSS.8.F.A.1

Front

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

Back

The relation {(1, 2), (1, 3), (2, 4)} is not a function because the x-value 1 is paired with two different y-values.

Tags

CCSS.8.F.A.1

Front

What is the importance of functions in mathematics?

Back

Functions are fundamental in mathematics as they describe relationships between quantities and are used in various applications.

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 paired with exactly one input, meaning no two different inputs have the same output.