Function Notation, Domain and Range

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

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

f(-2) = 7.

g(-4) + f(1) = -2.

Function notation f(x) represents the output of the function f for a given input x.

To find the domain, identify all x-values that do not cause division by zero or result in taking the square root of a negative number.

A vertical line test is a method to determine if a graph represents a function; if any vertical line intersects the graph more than once, it is not a function.

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).

The y-intercept is the point where the graph of the function crosses the y-axis, representing the output when x = 0.