A.2A, 6A, 9A Domain and Range of Functions

Front

What is 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 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

Identify the domain of the function f(x) = x^2.

Back

The domain is {x: all real numbers}.

Front

Identify 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 an example of a function with a restricted domain?

Back

f(x) = 1/x has a restricted domain because x cannot be 0.

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) = sqrt(x)?

Back

The domain is {x: x >= 0}.

Front

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

Back

The range is {y: y >= 0}.