Flashcard - Finding Domain and Range in Interval Notation

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How is interval notation used to express domains and ranges?

Back

Interval notation uses brackets [ ] for inclusive endpoints and parentheses ( ) for exclusive endpoints.

Tags

CCSS.6.EE.B.8

Front

What does the interval notation (3, ∞) represent?

Back

All real numbers greater than 3, not including 3.

Tags

CCSS.6.EE.B.8

Front

What does the interval notation [-3, ∞) represent?

Back

All real numbers greater than or equal to -3.

Tags

CCSS.6.EE.B.8

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

The domain is all real numbers except x = 2, expressed as (-∞, 2) ∪ (2, ∞).

Front

What does the interval notation (-∞, 4] represent?

Back

All real numbers less than or equal to 4.

Tags

CCSS.6.EE.B.8

Front

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

Back

The domain is all real numbers x such that x ≥ 1, expressed as [1, ∞).

Front

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

Back

The range is all real numbers y such that y ≥ 0, expressed as [0, ∞).

Front

How do you express the domain of a function that is defined for all real numbers?

Back

The domain is expressed as (-∞, ∞).