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

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

Back

All Real Numbers.

Front

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

Back

y ≥ 0.

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) = 1/(x-3)?

Back

All Real Numbers except x = 3.

Front

What is the range of the function f(x) = 1/(x-3)?

Back

All Real Numbers except y = 0.

Front

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

Back

Certain x-values are not allowed as inputs for the function.

Front

What is the domain of the piecewise function f(x) = {x^2 for x < 0, x + 2 for x ≥ 0}?

Back

All Real Numbers.