Domain and Range

Front

What is the definition of Domain in mathematics?

Back

The set of all possible input values (x-values) for a function.

Front

What is the definition of Range in mathematics?

Back

The set of all possible output values (y-values) for a function.

Front

How do you determine the Domain of a function from its graph?

Back

Identify the x-values for which the graph has points; these values make up the Domain.

Front

How do you determine the Range of a function from its graph?

Back

Identify the y-values that the graph reaches; these values make up the Range.

Front

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

Back

x ≥ 1 (the Domain is [1, ∞)).

Front

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

Back

y ≥ 0 (the Range is [0, ∞)).

Front

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

Back

x ≠ 2 (the Domain is (-∞, 2) ∪ (2, ∞)).

Front

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

Back

-1 ≤ y ≤ 1 (the Range is [-1, 1]).

Front

If a graph has points only between y = -3 and y = 2, what is the Range?

Back

-3 ≤ y ≤ 2.

Front

If a graph has points only between x = -4 and x = 3, what is the Domain?

Back

-4 ≤ x ≤ 3.