Domain and Range of Functions (Review)

Front

What is the Domain of a function?

Back

The set of all possible input values (x-values) for which the function is defined.

Front

What is the Range of a function?

Back

The set of all possible output values (y-values) that a function can produce.

Front

Identify the Domain: -3 < x ≤ 3

Back

The domain includes all real numbers between -3 and 3, including 3 but not -3.

Front

Identify the Range: -3 ≤ y < 1

Back

The range includes all real numbers from -3 to 1, including -3 but not 1.

Front

What does y ≥ 0 represent in terms of Range?

Back

The range includes all non-negative real numbers, starting from 0 and going to positive infinity.

Front

Identify the Range: -∞ < y ≤ 6

Back

The range includes all real numbers less than or equal to 6, extending to negative infinity.

Front

Identify the Range: -8 ≤ y ≤ 2

Back

The range includes all real numbers from -8 to 2, including both endpoints.

Front

What is a function's Domain in the context of a graph?

Back

The horizontal extent of the graph, representing all x-values for which the graph exists.

Front

What is a function's Range in the context of a graph?

Back

The vertical extent of the graph, representing all y-values that the graph can take.

Front

How do you determine the Domain from a function's equation?

Back

Identify values of x that make the function undefined (e.g., division by zero, square roots of negative numbers).