Domain and Range in Interval Notation

Front

What is the definition of Domain in Interval Notation?

Back

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

Front

How is a closed interval represented in interval notation?

Back

A closed interval is represented with square brackets, e.g., [a, b] includes both endpoints a and b.

Front

How is an open interval represented in interval notation?

Back

An open interval is represented with parentheses, e.g., (a, b) excludes both endpoints a and b.

Front

What does the notation [a, b) mean?

Back

It means the interval includes a (closed) but excludes b (open), so it contains all values from a to b, including a but not b.

Front

What does the notation (a, b] mean?

Back

It means the interval excludes a (open) but includes b (closed), so it contains all values from a to b, excluding a but including b.

Front

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

Back

The domain is all real numbers except x = 3, expressed as (-∞, 3) ∪ (3, ∞).

Front

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

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

Front

How do you find the domain of a function?

Back

To find the domain, identify values that make the function undefined (like division by zero) and exclude them.

Front

How do you find the range of a function?

Back

To find the range, determine the output values the function can produce based on its domain.