Domain and Range

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

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

This notation indicates that the domain includes all real numbers less than or equal to 3.

This notation indicates that the range includes all real numbers greater than or equal to -15.

The domain can be determined by identifying the x-values for which the graph exists.

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

The domain is all real numbers except x = 2, which can be written as (-∞, 2) ∪ (2, ∞).

The range is [0, ∞) since x^2 is always non-negative.

The domain is [1, ∞) since the expression under the square root must be non-negative.

The range is (-∞, ∞) since the function can produce all real numbers.