Functions & Relations/ Domain & Range

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 a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

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 repeated with different y-values.

Tags

CCSS.8.F.A.1

Front

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

Back

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

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where 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

An example is {(1,2), (1,3)}, where 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 is a function by checking if vertical lines intersect the graph more than once.

Front

What is the difference between domain and range?

Back

Domain refers to input values (x-values), while range refers to output values (y-values).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1