Answers + Steps

page 1 to 4 as pictures:

Evaluation Assignment Two for MTH 125 Section 02 FA21 Page One of Four assignment! It is crucial that you read the contents of Bb Message that contains the attachment for this For Items #1 through #5, list any/all discontinuities that may exist. Indicate if each discontinuity is "removable" or "nonremovable." Describe the continuity in interval notation. #F()- 52x+ 10, x5 -7 JANSWERS: 3x+14 x x+2. x2-7 F(x )= X+2 . ' " XE -7 / ANSWERS. 9 2x +10 x 2-7 f ( x ) =/x+11/ ANSWERS : X+ li f ( x ) = x - 2 ANSWERS : x - 17x + 30x AS f ( x ) = x = 2x ANG WERS : x -(7* + 30xPage Two of Four Evaluation Assignment Two for MTH 125 Section 02 FA21 continued assignment It is crucial that you read the contents of Bb Message that contains the attachment for this Item #6: In regards to continuity at a point, a function fis continuous at c if the following three conditions are met: For Items #7 through #10, find the limit if it exists. If the limit does not exist, write "DNE" (without quotes) for the answer. 1x+4/ Q /x+4/ @ 1= /x +4/ x4 4 x- -4 x7 4 x -4 x+4 ANSWER: ANSWER: ANSWER: x - - /4 : + [ x ] x - 1 4+ x - 14 x - 14 : X - -20 - (-33 + [-x]) X x - 20 ( -33+ 1 -x ] ) X - 20 (-33+[-x]) fix )= 2x - 6, x5-1/ x - 9 @D / Flyle 2x -6, * 5 - 1 4, x2 -1 1 - 4 x2 -11 xomp+ f (x)= 2 2x -6, x 2-41 x - 9 4, X 2 - 11 fix ) = $2x- 6 x 4 - 1 1 * * -13 x-9 4 ( X = - 1 1 2x - 6, x =-11 x - 1 1 f ( x ) = X- 2 x2-11Page Three of Four Evaluation Assignment Two for MTH 125 Section 02 FA21 continued It is crucial that you read the contents of Bb Message that contains the attachment for this assignment! For Items #11 through #14, find the limit if it exists. If the limit does not exist for these items, then it is an infinite limit. In such cases, write . or -oo for outcome. In such cases, you must show that you used a t-table with at least three values under the conditions that were provided in recent class discussions. These tables are not to be placed on this sheet but in organized work/steps in math paper packet. The corresponding work/steps for the steps for those items in which there is an infinite limit must be labeled by item number in the math paper packet. -55 OUTCOME: x-5+ X - 5 A 12 -55 OUTCOME: x - 5 k (2 - 7x ) OUTCOME : A/4 12 - 7 x / OUTCOME: X - D+Page Four of Four Evaluation Assignment Two for MTH 125 Section 02. FA21 continued First Activity (enrichment for studies of limits in general): Go to this website https://www.youtube.com/watch?v=HB&CzZEd4xw Scroll down to the video for "The BEST explanation for Limits and Continuity" [sic] On the accompanying sheet of college-ruled paper, take thorough notes on the presentation from 0:50 to 7:17. Include all math, computations; and graphs . Second Activity [enrichment for comprehension of EAZ material): Go to the website www.wyzant. com/resources/lessons/math/calculus/limits/continuity A brief description of the concept of continuity and how this applies to limits is offered here at the top of the site According to this site, all are continuous (fill in the blanks). What are the three types of discontinuities that can occur? Land ffill in the blanks, Graph the following functions. You may use the examples on the Wyzant site above for guidance with how your graphs should look or use wolframalpha.com ( (a. ) [4-4X15) show f(x )= 3 x IF x =-3 t- tablet - 7 1fx > -3 HHHHHHHH( X AXIS ' work 9 correspond(18.) f (x ) = x - 2 to t -tables HHHHH math paper/ ( c.) f ( x ) = 2 2x +5 , if x # 3 y -AXIS 14 1Fx : - 3 There are discontinuities with each of these. Each one breaks a condition of the three conditions that are listed at the Wyzant site (top of the site). Indicate which condition is broken in the first blank (you can identify this by "first," "second," or "third") and then indicate what sort of discontinuity it was in the second blank ("infinite," "jump," or"point") (a.) Broke condition as it is a(n) Discontinuity. (b) Broke condition as it is a(n). discontinuity. (c.) Broke. condition as it is a(n). discontinuity. " FIRST" OR ADJECTIVE FROM "SECOND " WYZANT SITE OR "THIRD "