Domain and Range

Front

What is the definition of Domain in a function?

Back

The set of all possible input values (x-values) for which the function is defined.

Front

What is the definition of Range in a function?

Back

The set of all possible output values (y-values) that a function can produce.

Front

How do you determine the Domain of a function graphically?

Back

By identifying the x-values for which the graph exists and is defined.

Front

How do you determine the Range of a function graphically?

Back

By identifying the y-values that the graph reaches or approaches.

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) = x^2?

Back

y ≥ 0 (all non-negative real numbers).

Front

What is the Domain of the function f(x) = √(x - 2)?

Back

x ≥ 2.

Front

What is the Range of the function f(x) = sin(x)?

Back

-1 ≤ y ≤ 1.

Front

What is the Domain of the function f(x) = log(x)?

Back

x > 0.

Front

What is the Range of the function f(x) = e^x?

Back

y > 0.