Directions: Show all work, and answer each question that is asked. Explanations should be given in complete sentences. All graphs should be drawn accurately on this sheet, and be fully labeled. 1. Pauline drinks a cup of coffee every morning at 6:30 am. The amount of caffeine (in mg) in her body t/5.7 as a result of drinking this coffee is given by the function A(t) = 175 (=) , where t is time in hours since 6:30 am. What is an appropriate domain for this function? Sketch an accurate graph of this function in an appropriate window, labeling axes and scale. What is the y-intercept of this function? What does this represent? After how many hours will there be half of the original amount of caffeine left in her body, assuming she doesn't ingest any more during the day