Domain & Range (Discrete and Continuous)

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 is the domain of the function f(x) = x^2 for x in real numbers?

Back

All real numbers (−∞, ∞).

Front

What is the range of the function f(x) = x^2 for x in real numbers?

Back

All real numbers greater than or equal to 0 [0, ∞).

Front

Identify the domain of the set of values {-3, 0, 3, -3}.

Back

{-3, 0, 3}.

Front

Identify the range of the function f(x) = 2x - 1 for x in the domain of all real numbers.

Back

All real numbers (−∞, ∞).

Front

What is the domain of the graph represented by the interval [-7, 5)?

Back

All x-values from -7 to 5, including -7 but not including 5.

Front

What is the range of the function defined by the interval -6 ≤ y ≤ 3?

Back

All y-values from -6 to 3, including both -6 and 3.

Front

What does it mean if a function is continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Front

What does it mean if a function is discrete?

Back

A function is discrete if it consists of distinct or separate values, often represented as individual points.