Problem
Scenario 2:
You are looking to invest in Nike stock. The following equations represents what were the stock prices were last year. Put the following equations into desmos, analyze, and answer the following questions:
\[
\text { Nh } \begin{array}{l}
y=25 \cdot(2)^{x}+45\{0
Solution
Step 1 ：\(y_{max} = \max\{\max(25 \cdot 2^{x} + 45), \max(-\frac{1}{2} x + 146), \max(-x + 150), \max(-2(x-15)(x-40)), \max(-\frac{1}{5}(x-50)^{2}+250)\}\)
Step 2 ：\text{Fastest rate}: \(0 < x < 2\)
Step 3 ：\text{Decrease time frames}: \(0 < x < 10\), \(8 < x < 20\), \(17.9 < x < 35\), \(34.2 < x < 80\)
Step 4 ：1. \text{Not a good idea to buy at the end because the stock is decreasing when } 34.2 < x < 80.
From Solvely APP
Solution
Step 1 ：\(y_{max} = \max\{\max(25 \cdot 2^{x} + 45), \max(-\frac{1}{2} x + 146), \max(-x + 150), \max(-2(x-15)(x-40)), \max(-\frac{1}{5}(x-50)^{2}+250)\}\)
Step 2 ：\text{Fastest rate}: \(0 < x < 2\)
Step 3 ：\text{Decrease time frames}: \(0 < x < 10\), \(8 < x < 20\), \(17.9 < x < 35\), \(34.2 < x < 80\)
Step 4 ：1. \text{Not a good idea to buy at the end because the stock is decreasing when } 34.2 < x < 80.
