Domain and Range Precalculus

Front

What is the definition of domain in mathematics?

Back

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

Front

What is the definition of range in mathematics?

Back

The range is the set of all possible output values (y-values) for a function.

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line using intervals.

Front

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

Back

It represents an open interval, meaning a < x < b, where a and b are not included.

Front

What does the notation [a, b] represent in interval notation?

Back

It represents a closed interval, meaning a ≤ x ≤ b, where a and b are included.

Front

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

Back

It represents a half-open interval, meaning a ≤ x < b, where a is included and b is not.

Front

What does the notation (a, b] represent in interval notation?

Back

It represents a half-open interval, meaning a < x ≤ b, where a is not included and b is.

Front

How do you express the range of a function in inequality notation?

Back

The range can be expressed using inequalities, such as a ≤ y ≤ b.

Front

How do you express the domain of a function in inequality notation?

Back

The domain can be expressed using inequalities, such as a < x < b.

Front

What is the range of the function f(x) = x^2 for x in [-2, 2]?

Back

The range is [0, 4].