Domain and Range of Functions

Front

What is the definition of the domain of a function?

Back

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

Front

What is the definition of the range of a function?

Back

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

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 exists.

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.

Front

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

Back

The domain is all real numbers except x = 0.

Front

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

Back

The range is {y | y ≥ 0}.

Front

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

Back

It means that there are specific values of x for which the function is not defined.

Front

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

Back

The domain is {x | x ≥ 1}.

Front

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

Back

The range is {y | y ≤ 0}.

Front

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

Back

Interval notation uses brackets [ ] for inclusive endpoints and parentheses ( ) for exclusive endpoints.