Domain & Range Interval Notation

Front

What is the definition of Domain in interval notation?

Back

The set of all possible input values (x-values) for a function, expressed in interval notation.

Front

What is the definition of Range in interval notation?

Back

The set of all possible output values (y-values) for a function, expressed in interval notation.

Front

What does the notation (a, b) represent?

Back

An open interval where 'a' and 'b' are not included in the set.

Front

What does the notation [a, b] represent?

Back

A closed interval where 'a' and 'b' are included in the set.

Front

What does the notation (a, b] represent?

Back

A half-open interval where 'a' is not included and 'b' is included.

Front

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

Back

An interval that includes all values less than 'a', with 'a' not included.

Front

What does the notation (a, ∞) represent?

Back

An interval that includes all values greater than 'a', with 'a' not included.

Front

Given f(x) = 3x + 1, what is f(-2)?

Back

f(-2) = 3(-2) + 1 = -5.

Front

Given g(x) = -3x^2 + 4, what is g(0)?

Back

g(0) = -3(0)^2 + 4 = 4.

Front

What is the domain of the function f(x) = 3x + 1?

Back

The domain is all real numbers, expressed as (-∞, ∞).