Algebra Functions Practice

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

A table represents a function if each input (x-value) corresponds to exactly one output (y-value). If any input has multiple outputs, it is not a function.

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.

Function notation is a way to represent functions using symbols, typically in the form f(x), where f is the function name and x is the input variable.

g(1) = -3(1) = -3.

h(1) = 3(1) = 3.

The profit function is P = 22x - 1200, where x is the number of shirts sold.

The maximum number of shirts Henry can sell is 600.

The number 1200 represents the fixed costs of starting the business, which must be covered before making a profit.