Domain & Range Review

Front

What is the DOMAIN?

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

What does it mean if a function is defined for all real numbers?

Back

The domain of the function includes every real number, meaning there are no restrictions on the input values.

Front

How do you determine the domain from a graph?

Back

Look for the x-values that the graph covers; these values represent the domain.

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

All real numbers except x = 2, since the function is undefined at that point.

Front

What is the notation for an open interval?

Back

An open interval is denoted with parentheses, e.g., (a, b) means a < x < b.

Front

What is the notation for a closed interval?

Back

A closed interval is denoted with brackets, e.g., [a, b] means a ≤ x ≤ b.

Front

What does the inequality -3 ≤ x < 1 represent?

Back

It represents all x-values starting from -3 (inclusive) to 1 (exclusive).

Front

How do you express the domain of a linear function?

Back

The domain of a linear function is typically all real numbers unless specified otherwise.

Front

What is the domain of the function g(x) = √(x-1)?

Back

x must be greater than or equal to 1, so the domain is [1, ∞).