Domain And Range

Front

What is the definition of Domain in a function?

Back

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

Front

What is the definition of Range in a function?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you determine the domain of a graph?

Back

Identify the x-values for which the graph exists; look for any restrictions such as holes or asymptotes.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

How do you determine the range of a graph?

Back

Identify the y-values that the graph reaches; consider the highest and lowest points.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What does an open circle on a graph indicate?

Back

It indicates that the endpoint is not included in the domain or range.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What does a closed circle on a graph indicate?

Back

It indicates that the endpoint is included in the domain or range.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

If a function has a domain of {3, 7}, what does this mean?

Back

The function is only defined for the input values 3 and 7.

Tags

CCSS.HSF.IF.A.1

CCSS.8.F.A.1

Front

If a function has a range of {0, 5}, what does this mean?

Back

The output values of the function can only be 0 or 5.

Tags

CCSS.HSF.IF.A.1

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

All real numbers greater than or equal to 0.