Introduction to 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 domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for a function.

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-value.

Tags

CCSS.8.F.A.1

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function means that each output (y-value) is paired with exactly one input (x-value).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between the domain and range of a function.

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because each x-value has one corresponding 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)} is not a function because the x-value 1 has two different y-values.

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What is the notation for a function?

Back

Functions are often written in the form f(x), where f is the function name and x is the input.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1