Domain and Range Interval Notation

Front

What is the definition of Domain in mathematics?

Back

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

Front

What is the definition of Range in mathematics?

Back

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

Front

What does interval notation represent?

Back

A way to describe a range of values using brackets and parentheses.

Front

What does a square bracket [ ] indicate in interval notation?

Back

It indicates that the endpoint is included in the interval.

Front

What does a parenthesis ( ) indicate in interval notation?

Back

It indicates that the endpoint is not included in the interval.

Front

How do you express the interval from -3 to 5, including -3 but not 5?

Back

[-3, 5) in interval notation.

Front

How do you express the interval from -∞ to 2, including 2?

Back

(-∞, 2] in interval notation.

Front

What is the range of the function f(x) = x^2 for all real numbers x?

Back

[0, ∞) because the output is always non-negative.

Front

How do you find the domain of a function graphically?

Back

By identifying the x-values where the graph exists from left to right.

Front

What is the range of the function f(x) = 1/x?

Back

(-∞, 0) ∪ (0, ∞) because the function never reaches 0.