The S&P TSX is a stock index that monitors the movements of the Canadian Stock Exchange. At the beginning of each month, the value of the index has either increased, decreased, or stayed the same in relation to the previous month. The equation 𝑓(𝑥)=−0.095𝑥3+1.76𝑥2−9.79𝑥+15.87 approximates the percent change of the index’s value from month to month for the first 10 months of the year.
a) Use the equation to determine the points at which the TSX went from growing to shrinking and vice versa.
b) If the index was 10,000 on January 1st, what is the value of the index after 5 months and 10 months?
