Domain and Range of Functions (Review)

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 linear function?

Back

Identify the x-values that make the function valid, often represented as an interval.

Front

What is an example of a Domain for a linear function?

Back

For the function f(x) = 2x + 3, the Domain is all real numbers, represented as (-∞, ∞).

Front

What is the significance of the Domain in a function?

Back

It defines the limits within which the function operates and helps avoid undefined values.

Front

How do you find the Range of a function?

Back

Evaluate the function for all values in the Domain to determine the resulting y-values.

Front

What is an example of a Range for a discrete function?

Back

For the function {(0,1), (1,-3), (2,-4)}, the Range is {-4, -3, 1}.

Front

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

Back

It means that not all x-values are valid inputs, often due to constraints like square roots or denominators.

Front

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

Back

The Domain is all real numbers except x = 2, represented as (-∞, 2) ∪ (2, ∞).

Front

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

Back

The Range is all non-negative real numbers, represented as [0, ∞).