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.

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.

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.

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.

Front

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

Back

f(x) = √x has a Domain of x ≥ 0.

Front

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

Back

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

Front

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

Back

Identify the x-values for which the graph exists.