Functions 3.1-3.3 Flashcard Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Tags

CCSS.8.F.A.1

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn intersects the graph at most once.

Front

What is function notation?

Back

Function notation is a way to represent functions, typically written as f(x), where f names the function and x is the input.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does it mean if a table of values is not a function?

Back

A table of values is not a function if any input corresponds to more than one output.

Tags

CCSS.8.F.A.1

Front

What does the notation h(4) = 5 signify in a function?

Back

It signifies that when the input t is 4, the output h(t) is 5, meaning the plant is 5 inches tall after 4 weeks.

Tags

CCSS.HSF.IF.A.2

Front

What is the difference between a function and a relation?

Back

A relation is any set of ordered pairs, while a function is a specific type of relation where each input has exactly one output.

Tags

CCSS.8.F.A.1

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where for each value of x, there is a unique value of f(x).

Tags

CCSS.8.F.A.1

Front

What is the significance of the domain in 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 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 do you express inequalities in function notation?

Back

Inequalities can be expressed in function notation by defining a function that describes the relationship, such as f(x) > 2.