10/2/2018 Task: Functions That Fit Task 1 Functions That Fit In this activity, you will describe one or more functions that fit a particular set of data. Question 1 Part A Based on the shape of the graph above, describe one or more functions you can think of to model the data. (Hint: Think of the graph as multiple parts.) https://f1.app.edmentum.com/courseware-delivery/ua/48973007/848525447/aHR0cHM6Ly9mMS5hcHAuZWRtZW50dW0uY29tL2xlYXJuZXIvc2Vjb25... 1/9 10/2/2018 Task: Functions That Fit Answer: Characters used: 0 / 15000 We can partition complex graphs to describe them. Consider the graph shown below. Here's one way to describe the graph based on the given partitions: Part 1 describes a cubic polynomial that's been translated to the right and up. Part 2 describes a quadratic function that's been reflected across the x-axis and translated to the right and up. Part 3 describes an exponential decay function that approaches a horizontal asymptote. https://f1.app.edmentum.com/courseware-delivery/ua/48973007/848525447/aHR0cHM6Ly9mMS5hcHAuZWRtZW50dW0uY29tL2xlYXJuZXIvc2Vjb25... 2/9 10/2/2018 Task: Functions That Fit Part B Here's a different way to partition the same function. Write a description of the partitioned function using known function types. Include function transformations in your description. https://f1.app.edmentum.com/courseware-delivery/ua/48973007/848525447/aHR0cHM6Ly9mMS5hcHAuZWRtZW50dW0uY29tL2xlYXJuZXIvc2Vjb25... 3/9 10/2/2018 Task: Functions That Fit Answer: Characters used: 0 / 15000 Part C Now try this one. Write a description of the partitioned function using known function types, including transformations. https://f1.app.edmentum.com/courseware-delivery/ua/48973007/848525447/aHR0cHM6Ly9mMS5hcHAuZWRtZW50dW0uY29tL2xlYXJuZXIvc2Vjb25... 4/9 10/2/2018 Task: Functions That Fit Answer: Characters used: 0 / 15000 Question 2 Part A Let's work with some actual data this time. Go online to research and find a set of real-world data in two variables. The data can be in tabular form or in a scatter plot. Choose data that has a reasonable number of data points so you're able to uncover trends. For the purposes of this activity, the data must not show a linear association. Describe the data you've identified in a sentence or two, and include a link to the data. Answer: https://f1.app.edmentum.com/courseware-delivery/ua/48973007/848525447/aHR0cHM6Ly9mMS5hcHAuZWRtZW50dW0uY29tL2xlYXJuZXIvc2Vjb25... 5/9 10/2/2018 Task: Functions That Fit Characters used: 0 / 15000 Part B Question https://f1.app.edmentum.com/courseware-delivery/ua/48973007/848525447/aHR0cHM6Ly9mMS5hcHAuZWRtZW50dW0uY29tL2xlYXJuZXIvc2Vjb25... 6/9 10/2/2018 Task: Functions That Fit Create a scatter plot of your data from part A using the tool's data feature. Then manually fit a variety of function types to the data, using the sliders for the given parent functions. Be sure to adjust the upper and lower values of each slider before trying to fit a function to the plotted data. Narrowing the interval on the slider moves the function slowly and accurately. Widening the interval on the slider moves the function farther and more coarsely. MARK y RELATIONSHIP 1 2 3 4 5 6 x 1 2 3 4 5 6 7 8 https://f1.app.edmentum.com/courseware-delivery/ua/48973007/848525447/aHR0cHM6Ly9mMS5hcHAuZWRtZW50dW0uY29tL2xlYXJuZXIvc2Vjb25... 7/9 10/2/2018 Task: Functions That Fit Part C Identify the function from part B that best fits the scatter plot of your real-world data. Answer: Characters used: 0 / 15000 Part D Why did you choose the function that you did in part C? Explain your answer. Answer: Characters used: 0 / 15000 Part E https://f1.app.edmentum.com/courseware-delivery/ua/48973007/848525447/aHR0cHM6Ly9mMS5hcHAuZWRtZW50dW0uY29tL2xlYXJuZXIvc2Vjb25... 8/9 10/2/2018 Task: Functions That Fit Let's say you had to make a prediction for the behavior of your data set that extends beyond the existing data points. Based on its end behavior, which type of function would best fit your scatter plot for long-term data projections? Do transformations play a role? Explain your reasoning. Answer: Characters used: 0 / 15000 https://f1.app.edmentum.com/courseware-delivery/ua/48973007/848525447/aHR0cHM6Ly9mMS5hcHAuZWRtZW50dW0uY29tL2xlYXJuZXIvc2Vjb25... 9/9