Final answer:
We analyze a linear stock price model, determining extrema by evaluating it at the start and end of the trading day and observing a consistent decline in stock value throughout the day due to a negative slope in the linear equation.
Step-by-step explanation:
The question deals with the fluctuation of stock prices in the stock market. Given the linear equation y = 15 - 1.5x, where x represents the number of hours into the trading day, we are asked to determine the extrema of a stock's value and its end behavior. Extrema refer to the minimum and maximum values of a function within a certain interval. In this case, since the equation is linear, the extrema would correspond to the starting and ending values of the stock within the trading day, assuming the day lasts for 8 hours. To find them, we would simply calculate y when x is 0 and x is 8.
As for the end behavior, we would analyze the coefficient of x, which is -1.5, indicating that the stock decreases in value by 1.5 units each hour. Therefore, as the day goes on, the stock value continues to decline linearly. There are no further extrema points within the day since the function is linear rather than cyclic or oscillatory.