Domain and Range

Front

What is the definition of Domain in mathematics?

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined.

Front

What is the definition of Range in mathematics?

Back

The range of a function is the complete set of possible values of the dependent variable (usually y) that result from using the function.

Front

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

Back

The domain can be determined by identifying the x-values for which the graph has points. It includes all x-values that the graph covers.

Front

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

Back

The range can be determined by identifying the y-values that the graph reaches. It includes all y-values that the graph covers.

Front

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

Back

Front

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

Back

Front

What does it mean if a function has a restricted domain?

Back

A restricted domain means that there are certain values of x that are not included in the domain, often due to division by zero or square roots of negative numbers.

Front

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

Back

Front

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

Back

Front

How do you express the domain of a function using interval notation?

Back

Interval notation uses brackets [ ] for inclusive endpoints and parentheses ( ) for exclusive endpoints to describe the set of x-values.