Domain and Range

Front

What is the definition of Domain in a function?

Back

The set of all x-values (inputs) for which the function is defined.

Front

What is the definition of Range in a function?

Back

The set of all y-values (outputs) that a function can produce.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the Domain?

Back

D: {0, 1, 2, -4}

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the Range?

Back

R: {1, -3, -4}

Front

What does it mean if a function has a Domain of -3 < x ≤ 3?

Back

It means x can take any value greater than -3 and up to and including 3.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does it mean if a function has a Range of All Real Numbers?

Back

It means the function can output any real number.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the relationship between Domain and Range?

Back

Domain refers to inputs (x-values), while Range refers to outputs (y-values) of a function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is an example of a function with a limited Domain?

Back

f(x) = √x has a Domain of x ≥ 0.

Tags

CCSS.HSF-BF.B.4D

Front

What is an example of a function with a limited Range?

Back

f(x) = sin(x) has a Range of [-1, 1].

Tags

CCSS.HSF.TF.A.4

Front

How do you find the Domain of a function given its graph?

Back

Identify the x-values for which the graph exists.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5