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 a 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

Given the function f(x) = 2x + 3, what is the Domain?

Back

All real numbers (x ∈ ℝ).

Front

Given the function f(x) = √(x - 1), what is the Domain?

Back

x ≥ 1.

Front

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

Back

y ≥ 0.

Front

How do you determine the Range from a set of ordered pairs?

Back

List all the second elements (y-values) from the ordered pairs.

Front

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

Back

All real numbers except x = 0.

Front

What does it mean for a relation to be a function?

Back

Each input (x-value) must correspond to exactly one output (y-value).

Front

If the Domain is {-3, -2, -1, 0, 1, 2, 3}, what are the possible Range values for the function f(x) = 2x?

Back

{-6, -4, -2, 0, 2, 4, 6}.

Front

What is the Range of the function f(x) = -x + 5?

Back

All real numbers (y ∈ ℝ).