Section 2.3 Function Notation and Making Predictions

Finding the Domain and Range of a Function Example A store opens at 9 A.M. to 5 P.M., Mondays through Saturday. Let be an employee’s weekly income (in dollars) from working t hours each week at $10 per hour. 1. Find an equation of the model f. The employee’s weekly income (in dollars) is equal to the pay per hour times the number of hours worked per week: Solution Section 2.3 Slide 2

Finding the Domain and Range of a Function Example Continued Find the domain and range of the model f. To find domain and range we consider input-output Store is open 8 hours a day, 6 days a week, the employee can work up to 48 hours per week So, the domain is Since hours worked is between 0 and 48 hours, inclusively, the pay is between 0 and 48(10) Solution Section 2.3 Slide 3

Finding the Domain and Range of a Function Solution Continued Range is The figures illustrate inputs of 22, 35, and 48 being sent to the outputs 220, 350 and 480, respectively Label the t-axis that represents the domain and the part of the I-axis that represents the range Section 2.3 Slide 4