AFDA Unit 3 Characteristics of Functions Project

AFDA Unit 3 Characteristics of Functions PROJECT Team Member Names: ________________________________________________________________________________ ________________________________________________________________________________ Congratulations! You and your group have been chosen to design the new roller coaster at Math Land! All the rides at Math Land have mathematical themes and you are designing a function coaster. Part A - Plan 1. Come up with a name for your roller coaster 2. You want this roller coaster to have a little bit for every type of guest, so think about what it is going to look like. 3. On a piece of lined paper, sketch an idea for your coaster. It must have at least 5 functions built into it and contain at least one of each kind – linear, quadratic, exponential, and piecewise. 4. Go to Linerider.com and make sure your roller coaster is safe!! Sketch your roller coaster and press play to see if your customers will make it to the end of your coaster. We don’t want any lawsuits! 5. Capture a video and upload it to Canvas. Part B - Graph it out! 1. Take your sketch and transfer it to a piece of graph paper. Make sure that important parts of your coaster hit easy to find coordinate points. 2. You must draw and label your axes and put a title on your drawing. 3. Your x-axis is the length of time for the coaster and the y-axis is the height of the coaster. 4. Your coaster must go underground at least once. 5. Color each function a different color on your coaster. Courtesy of the teachers at Gar-Field HS Part C - Function Characteristics Fill in the chart. Domain & Range D: R: Intercepts x-intercepts y-intercepts Absolute minimum and maximum Max: Min: Increasing and decreasing intervals Increasing: Decreasing: Zeros End behavior 𝐴𝑠 𝑥 → −∞, 𝑦 → ________ Asymptotes Courtesy of the teachers at Gar-Field HS 𝐴𝑠 𝑥 → ∞, 𝑦 → ________ Use the information in your chart to fill in the blanks on the next page. Part D – The story Fill in the blanks. Let’s go for a ride on the ________________________ roller coaster, which is __________ seconds long. The roller coaster begins at _____ feet from the ground. After _______ seconds we will reach the maximum height of ________ feet. Therefore, the values for the domain of this roller coaster are _________ and the range is __________. We will be moving slow during the intervals of _____________________________________ because we will be going ________ hill, which means these are the (increasing, decreasing) intervals. We will be moving very fast during the intervals of ___________________________________ because we will be going ________ hill, which means these are the (increasing, decreasing) intervals. We go underground at the __________ intercept which is ________ seconds from the start and come back above ground at the __________ intercept which is ________ seconds from the start. Our coaster gets closer and closer to the ground at the end but never touches which means that y = _________. Part E - Poster Glue/tape your finished roller coaster graph onto poster paper. Your poster MUST include the following: • • • title roller coaster graph all of the info from your function characteristic chart Your poster should be neat, colorful, and free of spelling errors. Part F - Presentation Your group will present your roller coaster and all the information to the class. Each person in your group must speak, so decide ahead of time who is going to say what. A good way to split up speaking is to have each member read a section of Part D. Courtesy of the teachers at Gar-Field HS