Domain and Range of Functions

Front

The set of all x-values used to graph a function are called the ____.

Back

Domain

Tags

CCSS.HSF.IF.A.1

Front

The set of all y-values that a function can output is called the ____.

Back

Range

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the range of the graph that includes all values from -15 to infinity?

Back

[-15, ∞)

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

Front

What is the domain of the function that includes all values from -3 to infinity?

Back

[-3, ∞)

Front

What is the domain of the graph that includes all real numbers?

Back

(-∞, ∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

If a function has a domain of (-∞, 4], what does this mean?

Back

The function includes all x-values less than or equal to 4.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

If a function has a range of (3, ∞), what does this mean?

Back

The function outputs values greater than 3.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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

Back

[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

(-∞, 0] because the function outputs values less than or equal to 0.

Front

What does it mean if a function is defined for all real numbers?

Back

It means the domain is (-∞, ∞).

Tags

CCSS.HSF.IF.A.1