Grade 11 Functions Culminating Task
Google Trends (https://trends.google.com/trends/) is an online tool that allows a user to search the global interest of a “search-term” over time. The y-axis shows the relative number of searches and the x-axis shows time (the scale can be changed).
For example:
The image to the right shows the search interest for the film Star Wars: The Last Jedi throughout the week of its release. The first arrow shows low interest by comparison to the rest of the graph. The second arrow demonstrates the highest point of interest, 11 pm on the day of its release (Dec 15th, 2017). The third arrow indicates slowly decreasing interest in the film, but still increasing to a peak at 11 pm each evening following the film’s release.
INSTRUCTIONS – USING GOOGLE TRENDS AND DESMOS
The following instructions can also be found at this video link: https://youtu.be/yyskaUPz-X4
Your Desmos workbook is now set up and you are ready to begin your culminating task!
PART A – MODELING YOUR TREND WITH FUNCTIONS
An example can be found at this link: https://youtu.be/HUrBGV0PD0c
Using your Desmos workbook, begin plotting base functions and transforming them to attempt to model your trend. Do this by starting with an appropriate base function (ie. y = 2x) and applying your understanding of transformations. See the link above for assistance with this.
Apply your transformations one at a time, taking screenshots and pasting them into the chart below. Fill in the equation of your transformed function and your rationale for each transformation. Your goal is to show your progress as you develop your model. You may add rows to the chart as needed.
Screenshots | Equation | Rationale |
[Paste your screenshot of your original trend here]
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PART B – ALGEBRAIC CALCULATIONS
You now have a model that relates the interest level of your search-term (y-axis) to the date (x-axis).
PART C – ANALYSIS OF YOUR TREND
For each of the transformed functions that you used, describe the domain, range and interpret and explain them using th
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