Domain and Range in Interval Notation

Front

What is the definition of 'Domain' in interval notation?

Back

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

Front

What is the definition of 'Range' in interval notation?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce, expressed in interval notation.

Front

What does the interval notation [-12, 6) represent?

Back

This notation indicates that the range includes -12 and all values up to, but not including, 6.

Front

What does the interval notation (-3, 3) represent?

Back

This notation indicates that the domain includes all values greater than -3 and less than 3, but not including -3 and 3.

Front

How do you express a closed interval?

Back

A closed interval is expressed with square brackets, e.g., [a, b], indicating that both endpoints a and b are included.

Front

How do you express an open interval?

Back

An open interval is expressed with parentheses, e.g., (a, b), indicating that neither endpoint a nor b is included.

Front

What does the interval notation (-10, 25] represent?

Back

This notation indicates that the domain includes all values greater than -10 and up to and including 25.

Front

What is the significance of using interval notation?

Back

Interval notation provides a concise way to represent sets of numbers, particularly for domains and ranges in functions.

Front

How would you write the range of a function that outputs values from -12 to -2, inclusive?

Back

The range would be written as [-12, -2].

Front

What is the difference between a closed interval and an open interval?

Back

A closed interval includes its endpoints, while an open interval does not include its endpoints.