# Sketch the graph of ( ) = 4 + 3 3 − 53 2 − 147 + 196 and plot the function’s zeroes. Color each of the zeroes red. Then, use your sketch to find the values for which ( ) = 150 ( ) intersects ( ). 2 Co

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the questions that need to be answered are 1,3,4,5 and 7

all must be graphed using a website named geogebra and it should be screenshooted once complete and sent to me. Thank you

and the work needs to be written on paper

Sketch the graph of ( ) = 4 + 3 3 − 53 2 − 147 + 196 and plot the function’s zeroes. Color each of the zeroes red. Then, use your sketch to find the values for which ( ) = 150 ( ) intersects ( ). 2 Co

1 MAT 15 5: LAB 4 Topic: Piecewise Function and Non -Removable Discontinuities . Instructions. The question below will be assigned or reviewed in class. Pay attention to the instructions given; you may be asked to submit solutions for grading. Review exercises indicate problems that should be able to complete based on previously covered material. Preliminaries: Before completing a full exercise, you must le arn how to perform basic skills in GeoGebra. Please be sure that you can complete each of the following exercises before moving on. You do NOT need to save any of the work you do but check off each skill after you learn it. 1. Graphing a piecewise function . To graph a piecewise function , we must use the if statement command If(condition , then , condition , then ). For example, t o graph the piecewise function: ()= {−, < 0 , ≥ 1 Just type in the input bar ( < 0,−, >= 1,), enter. For example, to graph the piecewise function : ()= {2, < 0 3, ≥ 0 Just type in the input bar ( < 0,^2, >= 0,^3), enter. Problems. Use GeoGebra to complete all the problems below. Create a new file for each exercise and save the file for your records. 1. (Quiz#1 ) Sketch the graph of ()= 4+ 33− 53 2− 147 + 196 and plot the function’s zeroes. Color each of the zeroes red. Then, use your sketch to find the values for which ()= 150 ( 2) intersects (). Color the intersection points blue. Hint: You must adjust your scale and your axis so that you can see t he zeroes and intersection points. Make sure that you have a nice picture of your graph. 2. Consider the following piecewise defined function: ()= { + 1, ≤ 1 2+ 3, > 1 Evaluate (−2), (0), (1), and (3). Use your graph to determine if () has a non -removable discontinuity at = 1. 3. Consider the following piecewise defined function: ()= { (− ), < 0 , ≥ 0 2 Evaluate (−), (0), (1), and (3). Use your graph to determine if () has a non -removable discontinuity at = 0. 4. Consider the following piecewise defined function: ℎ()= { 2− 4, ≤ 3 2− 2, > 3 Evaluate ℎ(−3), ℎ(0), ℎ(3), and ℎ(6). Use your graph to determine if ℎ() has a non -removable discontinuity at = 3. 5. Consider the following piecewise defined function: ()= { 4 () , < 0 4− 2, ≥ 0 Evaluate (−2), (0), (2), and (4). Use your graph to determine if () has a non -removable discontinuity at = 0. 6. What value should be given to the constant in the following piecewise defined function to make sure that () has no discontinuity at = 3? ()= {3+ 5, ≤ 3 − , > 3 Once you have found the right value for , graph the piecewise function to make sure that no non -removable discontinuity exists at = 3. 7. What value should be given to the constant in the following piecewise defined function to make sure that () ha s no discontinuity at = 2? ()= {2+ 2, < 2 3− , ≥ 2 Once you have found the right value for , graph the piecewise function to make sure that no non -removable discontinuity exists at = 2.

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