Domain and Range in Interval Notation

Front

What is the definition of domain in a function?

Back

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

Front

What is the definition of range in a function?

Back

The range of a function is the set of all possible output values (y-values) that the 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 to represent sets of numbers.

Front

What does the interval notation (a, b) represent?

Back

The interval notation (a, b) represents all real numbers x such that a < x < b.

Front

What does the interval notation [a, b) represent?

Back

The interval notation [a, b) represents all real numbers x such that a ≤ x < b.

Front

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

Back

The interval notation (-∞, b] represents all real numbers x such that x ≤ b.

Front

What does the interval notation [a, ∞) represent?

Back

The interval notation [a, ∞) represents all real numbers x such that x ≥ a.

Front

Convert the set builder notation {x | x > 3} to interval notation.

Back

(3, ∞)

Front

Convert the set builder notation {x | x ≤ -2} to interval notation.

Back

(-∞, -2]

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.