Domain and Range

Front

What is the Domain of a function?

Back

The collection of all inputs or x-values for which the function is defined.

Front

What is the Range of a function?

Back

The collection of all outputs or y-values that a function can produce.

Front

What does it mean for a function to be defined?

Back

A function is defined for a specific set of inputs (domain) and produces outputs (range) based on those inputs.

Front

If a function has a domain of {-3, -2, -1, 0, 1, 2, 3}, what are the possible inputs?

Back

The possible inputs are -3, -2, -1, 0, 1, 2, and 3.

Front

If a function has a range of {0, 4, 10, 12}, what are the possible outputs?

Back

The possible outputs are 0, 4, 10, and 12.

Front

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

Back

f(x) = √x, where the domain is x ≥ 0.

Front

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

Back

f(x) = x^2, where the range is y ≥ 0.

Front

How do you determine the domain of a linear function?

Back

The domain of a linear function is typically all real numbers unless specified otherwise.

Front

What is the domain of the function f(x) = 2x + 3?

Back

The domain is all real numbers, (-∞, ∞).

Front

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

Back

The range is y ≤ 0.