Discussion 3-Connecting Math with Reality - Project Group 2

From 202230-MAC-2233-30267

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Before completing this activity, please read thefeedbackthat was posted based off of the2ndactivity-it's located in the Discussion section of Canvas. If you have any questions or comments, feel free to discuss it with your group.

This activity will focus on determining increasing/decreasing and how that relates to the maximum and minimum values and the tangent lines at those points. Feel free to reference the last couple of discussions.

Initial Post:

• Choose some interval of time (like 6 months), and take a screenshot of your favorite stock's price during that interval of time.
• Pick a lowest and highest point during that interval. Try to choose an interval where the graph is 'smooth'.
• Write the lowest and highest points you have chosen as ordered pairs.
• Draw a tangent line at the lowest and highest point and upload the picture.
• Find the equation of the tangent line through the lowestpoint.

Replies

• Describe the slope of the graph to the left and right of each tangent line (i.e. positiveegative/zero/undefined).
• What does this tell you about the derivative at that point? (i.e. positive negative, etc)?
• What is the price of the stock doing to the left and right of the tangent line that was drawn by your group member?
• What can you say about the tangent lines that were drawn (i.e. it is positive, negative, zero, undefined)? Do you see a pattern?
• Find the equation of the tangent line through the highestpoint.

Note: Clearly state which tangent line you are referring to. For example, in June 2021 the graph hit a maximum. To the left of the max, the graph was (increasing/decreasing) which means the derivative was (positiveegative). To the right of the max/min, the derivative is posegative/ which means the price was.....

• activity 2

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