Download polynomials and other stuff and more Assignments Mathematics in PDF only on Docsity! Name savvasrealize.com 3-5 Enrichment Zeros of Polynomial Functions Alani is a software engineer who is designing a new level of a video game. She will use the equation below to design the path that the game’s characters take to collect coins, avoid certain areas, earn the next level, and finally, move on to win the level. Answer the questions to help her design the game and then graph the function. Sketch the graph, and label each point the graph intersects either the x- or y-axis as collection points. y 10 20 O x −10 −20 −30 −40 −50 −60 2 6 8−2−6−8 Collection point Collection point Collection point/ y-intercept Collection point 1. The collection points are the zeros of the polynomials. What x – values are collection points? Select all that apply. a. x = −4 b. x = −1 c. x = 0 d. x = 1 e. x = 2 f. x = 4 2. The y-intercept is also a collection point. What is the y–intercept? Choose the correct answer. a. y = 0 b. y = 4 c. y = 16 d. y = 21 3. The entrance and exit to this level lie on the character’s path. At what coordinates would you place the entrance and exit to the level? Sample answer: entrance (−5, −35), exit (4.2, 20). Those points are positions on the graphs, and you should enter and leave the level somewhere on the graph. 4. Obstacles or hazards and make it so your character has to maneuver along the path skillfully so the character can go to the next level. Where would you place these obstacles or hazards along the path? Explain. Sample answer: A water hazard could be placed above the y-axis under the parabola between (−1.1, 0) to (−3.999, 0). The hazard would be just left/right of the parabola graph. If you land in this hazard you will lose a life and have to start the level again. f(x) = ( x 2 − 16)(x + 4) ( x 2 −1) ____________________ x 2 + 3x − 4 enVision™ Algebra 2 • Teaching Resources