Domain and Range

Front

What is the definition of Domain in a function?

Back

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

Front

What is the definition of Range in a function?

Back

The set of all possible output values (y-values) that a function can produce.

Front

How do you determine the domain of a function from its graph?

Back

Identify the x-values for which the graph exists; these values make up the domain.

Front

How do you determine the range of a function from its graph?

Back

Identify the y-values that the graph reaches; these values make up the range.

Front

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

Back

All real numbers except x = 2.

Front

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

Back

y ≥ 0 (all non-negative real numbers).

Front

Given the function g(x) = 3x + 1, what is its domain?

Back

All real numbers.

Front

Given the function g(x) = 3x + 1, what is its range?

Back

All real numbers.

Front

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

Back

x ≥ 1.

Front

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

Back

y ≥ 0.