Domain and Range

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 closed interval [a, b] mean?

Back

It includes both endpoints a and b.

Front

What does an open interval (a, b) mean?

Back

It does not include the endpoints a and b.

Front

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

Back

[0, ∞) because the square root function is only defined for non-negative numbers.

Front

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

Back

[0, ∞) because the output of a square function is always non-negative.

Front

How do you find the domain of a rational function?

Back

Identify values that make the denominator zero and exclude them from the domain.

Front

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

Back

All real numbers except x = 3.

Front

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

Back

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