Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.*
Students will construct a step function by analyzing salaries that increase at certain intervals. Students will transfer this understanding to constructing piecewise functions that are defined on specific domains.
Real life examples make it easier to understand the application of the concept of function. This lesson allows students to determine domain and range based on feasible inputs and outputs for a function.