Page of 4 - For the following exercises, use this scenario: The population of a city has risen and fallen over a 20-year interval. Its population may be modeled by the following function: y = 12,000 + 8,000sin(0.628x), where the domain is the years since 1980 and the range is the population of the city. 19. What is the largest and smallest population the city 20. Graph the function on the domain of [0, 40]. may have? 21. What are the amplitude, period, and phase shift for 22. Over this domain, when does the population reach the function? 18,000? 13,000? 23. What is the predicted population in 2007? 2010? For the following exercises, suppose a weight is attached to a spring and bobs up and down, exhibiting symmetry. 24. Suppose the graph of the displacement function is shown in Figure 1, where the values on the x-axis represent the time in seconds and the y-axis represents the displacement in inches. Give the equation that models the vertical displacement of the weight on the spring. Figure 1