Domain and Range

Front

What is the definition of Domain in mathematics?

Back

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

Front

What is the definition of Range in mathematics?

Back

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

Tags

CCSS.HSF.IF.A.1

CCSS.8.F.A.1

Front

What does it mean if a function has a Domain of all real numbers?

Back

It means that any real number can be used as an input for the function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

If a function has a Range of y > 1, what does this indicate?

Back

The output values of the function are greater than 1.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you determine the Domain from a graph?

Back

Identify the x-values for which the graph has points.

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

Front

How do you determine the Range from a graph?

Back

Identify the y-values that the graph reaches.

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

Front

What is the Domain of the function f(x) = 1/x?

Back

All real numbers except x = 0.

Front

What is the Range of the function f(x) = x^2?

Back

y ≥ 0 (all non-negative real numbers).

Front

If a function is defined as f(x) = x + 3, what is its Domain?

Back

All real numbers.

Front

If a function is defined as f(x) = sqrt(x), what is its Domain?

Back

x ≥ 0 (all non-negative real numbers).