Problem 2 Written HWProblem 1:Let (x) =a) what is the domain of g(x)?As you can see g(x) is defined when x=2 #0:X will be greater than 2, 7.7.2, 1x-2) = x-2,X-2· g(x)= x - 2 = 7X will also be less than 2, x < 2, 1x-21 = -(x-2) Pa= -1--(x-2).(x-2).: g(x) = 1g(x) is defined as(-∞02)0(2,00)b) Use numerical method to find lim g(x) and lim g(x).Using g(x)= x-21 to get closer to 1.x-2X-72+X-2"Zજી।.૧૧૧૧) =9 (2,001)=X1.99 1.999 1.9999/2.0001|2.001g(x)-1-11 1 19(1.99) =11.99-21-1-0.011 -0.01-0.01 -0.011.99-211.9999-21 -0,000il1.9999-2-0.000112.001-21 -10.001t.2.000-20.001IX-21X-2-1Plugging in our X's to getour g(x).11.999-21 1-0.0011:1.999-2-0.0011= 1 12.0001-21_10.000112.0001-20.0001limg(x) = -1 which is headedto the left..x+2-|lim g(x) = 1 which is headed toto right.F(calculate livec)before1Based on my answer from (b) limg(x).does NOT exist, DNE.x42We have figured out that limg(x) #lim g(x),x-2-x+27which is a very big difference.95C) Based on your answer to (b), what is lim g(x)?X-421d) Sketch an accurate graph of g(x) on the interval.[-4,4]. Be sure to includeany.openor close circles.when plotting onto the graph it remains the same asneededIx-21but instead lies on 4.X-2451565 4:04MAT 131 Written HW Sec...MMAT 131-ApplebeeWritten HW-Sections 1.2 and 1.3You may collaborate with up to 3 other students on written HW assignments -no collaborationacross groups. You may not work with a tutor or upload this assignment to a site like Chegg.Your final submission should be your own work, explained in your own words. To submit theassignment, either scan your written work as a PDF (GeniusScan is a free scanning app) or typeyour work and save it as PDF to upload. Be sure to review the Written HW Guidelines andExpectations in the Syllabus before submitting your assignment.Problem 1:Let (x) =|x-21x-2a) What is the domain of g(x)?b) Use numerical methods to find lim g(x) and lim g(x).c) Based on your answer to (b), what is lim g(x)? Write at least one sentence to explainhow you determined this limit.d) Sketch an accurate graph of g(x) on the interval [-4,4]. Be sure to include any neededopen or closed circles.Problem 2:The goal of this problem is to compute the value of the derivative at a point for two differentfunctions. You will compute the limit in three different ways and then compare the results tosee that each produces the same value.For each of the following functions, use the following 3 methods to compute the derivative atpoint a.Dashboard1. Use the limit definition of the derivative (algebraic)2. Use a numerical approach (with at least 2 small values of h)3. plot the graph near a, along with the appropriate tangent line to estimate the value off'(a) visually.After to have computed the limit all 3 ways, write at least one sentence comparing the results.Function 1Function 2f(x) == at a = 1f(x) = x² - 4x at a = 3аBY SAhttps://activecalculus.org/single/sec-1-2-lim.htmlhttps://activecalculus.org/single/sec-1-3-derivative-pt.htmlCalendar8To Do©2012-2019 Matthew BoelkinsANotifications1Inbox

Answered: Function 1 f(x)=x² - 4x at a = 3

Math

Advanced Math

Function 1 f(x)=x² - 4x at a = 3

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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