domain range and 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 an example of a function?

Back

A function is a relation where each input (x) has exactly one output (y). For example, f(x) = x^2 is a function.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.

Front

What does it mean if a function has a domain of all real numbers?

Back

It means that the function is defined for every possible real number input.

Front

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

Back

It means that the function is only defined for a specific set of input values, excluding others.

Front

What is the significance of endpoints in determining the domain?

Back

Endpoints indicate the limits of the domain; they show the minimum and maximum x-values for which the function is defined.

Front

What is an open interval in the context of domain?

Back

An open interval means that the endpoints are not included in the domain, represented as (a, b).