Domain and Range Inequality Notation

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

What does the notation -3 < x ≤ 5 represent?

Back

It indicates that x can take any value greater than -3 and up to and including 5.

Front

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

Back

All real numbers, since it is a linear function.

Front

Identify the domain of the function f(x) = 1/(x-2).

Back

All real numbers except x = 2.

Front

What does the notation 0 ≤ y ≤ 6 mean?

Back

y can take any value from 0 to 6, including both endpoints.

Front

What is the domain of the relation {(1,2), (3,4), (5,6)}?

Back

{1, 3, 5}.

Front

What is the range of the relation {(1,2), (3,4), (5,6)}?

Back

{2, 4, 6}.

Front

How do you express the domain of a function that includes all integers from -6 to 14?

Back

{-6, -5, -4, ..., 14}.

Front

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

Back

y ≥ 0, since the output of a square function is always non-negative.