Domain and Range of Functions

Front

What is the Domain of a Function?

Back

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

Front

What is the Range of 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 given a set of points?

Back

Identify all the x-values from the given points.

Front

How do you determine the Range of a function given a set of points?

Back

Identify all the y-values from the given points.

Front

What is the Domain of the function f(x) = 1/(x-2)?

Back

All real numbers except x = 2.

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-1)?

Back

x ≥ 1 (all real numbers greater than or equal to 1).

Front

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

Back

All real numbers (since it can take any value depending on x).

Front

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

Back

x > 0 (all positive real numbers).

Front

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

Back

-1 ≤ y ≤ 1 (values between -1 and 1 inclusive).