Domain and Range

Front

What is the definition of Domain in mathematics?

Back

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

Front

What is the definition of Range in mathematics?

Back

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

Front

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

Back

Identify the x-values for which the graph exists.

Front

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

Back

Identify the y-values that the graph reaches.

Front

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

Back

All Real Numbers (−∞ < x < ∞).

Front

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

Back

0 ≤ y < ∞.

Front

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

Back

All Real Numbers except x = 0.

Front

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

Back

All Real Numbers except y = 0.

Front

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

Back

It means that not all x-values are valid inputs for the function.

Front

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

Back

f(x) = sin(x) has a range of -1 ≤ y ≤ 1.