Identifying Domain and Range

Front

What is the definition of Domain in the context of functions?

Back

The set of all possible x-values for a function.

Front

What is the definition of Range in the context of functions?

Back

The set of all possible y-values for a function.

Front

How is the domain represented in inequality notation?

Back

It can be represented as an inequality, for example, -4 < x < 4.

Front

How is the range represented in interval notation?

Back

It can be represented as an interval, for example, [1, -3).

Front

How is the range represented in inequality notation?

Back

It can be represented as an inequality, for example, 1 ≥ y > -3.

Front

What is the difference between domain and range?

Back

Domain refers to the x-values, while range refers to the y-values of a function.

Front

What is an example of a function with a limited domain?

Back

f(x) = √x has a domain of x ≥ 0.

Front

What is an example of a function with a limited range?

Back

f(x) = x^2 has a range of y ≥ 0.

Front

What does it mean if a function is defined for all real numbers?

Back

It means the domain is (-∞, ∞).

Front

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

Back

The domain is all real numbers except x = 0.