Continuous Domain and Range

Front

What is the DOMAIN of 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 RANGE of 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 do you express a domain in interval notation?

Back

A domain can be expressed in interval notation using brackets [ ] for inclusive endpoints and parentheses ( ) for exclusive endpoints.

Front

What does the notation 0 ≤ x < 3 mean?

Back

This notation means that x can take any value from 0 to 3, including 0 but not including 3.

Front

What does the notation 1 ≤ y ≤ 5 mean?

Back

This notation means that y can take any value from 1 to 5, including both 1 and 5.

Front

What is the difference between open and closed intervals?

Back

Open intervals do not include their endpoints (e.g., (a, b)), while closed intervals do include their endpoints (e.g., [a, b]).

Front

How do you find the range of a function from its graph?

Back

To find the range from a graph, identify the lowest and highest points on the y-axis that the graph reaches.

Front

What is the significance of the range in real-world applications?

Back

The range can represent possible outcomes or values in real-world scenarios, such as the height of a person or the temperature in a day.

Front

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

Back

The domain is all real numbers except x = 0, expressed as (-∞, 0) ∪ (0, ∞).

Front

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

Back

The range is all non-negative real numbers, expressed as [0, ∞).