Domain and Range

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How is the domain represented in set notation?

Back

The domain can be represented as a set of values, e.g., {5, 10, 15}.

Front

How is the range represented in set notation?

Back

The range can be represented as a set of values, e.g., {3, 4}.

Front

What variable typically represents the domain?

Back

x

Front

What variable typically represents the range?

Back

y

Front

If a function is defined as f(x) = x + 2, what is the domain?

Back

The domain is all real numbers, represented as (-∞, ∞).

Front

If a function is defined as f(x) = √x, what is the domain?

Back

The domain is [0, ∞) because x cannot be negative.

Front

If a function is defined as f(x) = 1/x, what is the domain?

Back

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

Front

What is an example of a function with a limited domain?

Back

f(x) = √(x - 1) has a domain of [1, ∞).