Domain and Range of Functions

Front

What is the definition of the domain of a function?

Back

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

Front

What is the definition of the range of a function?

Back

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

Front

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

Back

The domain can be determined by identifying the x-values that the graph covers.

Front

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

Back

The range can be determined by identifying the y-values that the graph covers.

Front

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

Back

The domain is all real numbers, (-∞, ∞).

Front

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

Back

The range is all real numbers greater than or equal to 0, [0, ∞).

Front

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

Back

The domain is all real numbers except x = 2, (-∞, 2) ∪ (2, ∞).

Front

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

Back

The range is all real numbers less than or equal to 0, (-∞, 0].

Front

Given the points (1, 2), (2, 3), (3, 5), what is the range of this relation?

Back

The range is {2, 3, 5}.

Front

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

Back

The domain is all real numbers greater than or equal to 1, [1, ∞).