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 from a graph?

Back

Identify the x-values for which the graph has points. The Domain is the interval of these x-values.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

How do you determine the Range from a graph?

Back

Identify the y-values that the graph reaches. The Range is the interval of these y-values.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What does the notation -5 ≤ x ≤ 3 represent?

Back

It indicates that x can take any value from -5 to 3, inclusive.

Front

What does the notation 0 ≤ y < 3 represent?

Back

It indicates that y can take any value from 0 to just below 3, including 0 but not 3.

Tags

CCSS.HSA.CED.A.3

Front

If a function has a Domain of All real numbers, what does that mean?

Back

It means that the function is defined for every possible x-value.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

If a function has a Range of y ≤ 6, what does that mean?

Back

It means that the output values (y-values) of the function can be any number less than or equal to 6.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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

Back

x ≥ 1, because the expression under the square root must be non-negative.

Front

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

Back

y ≥ 0, because the square of any real number is non-negative.