Due Monday WATERPROOF / FADE-PROOF Math 227 Lab 15: Section Use good notation and show all of your work. 1. Plot each function. State if there are any vertical or horizontal asymptotes and holes. -9 -8 - 7 -6 -5 -4 -3 - 2 2 (a) f(2) = (b) g(2) = 2207 +52- 3 2 2 - 4 20 2 - 9 an dojordi-no lo z 2. For each of the following, find the limit if it exists; if the limit does not exist, write "DNE". Use co and -0% when appropriate. (a lim -7 (b) lim 2 4x 2-+5+ x- 5 1-7-4- 22 +4x (c) lim x-1+ x2 - 4x +3 (d) lim 523 - 7x+ 1 e lim 2203 - 4x2 + 1 923 - 4x2 - 5x + 1 I -+00 4x3 -8 5x5 - 8x (f) lim - - 0o 4 -202 Page 1Math 227 Lab 15: Section 3.1 Name: 3. Calculate the following limit, use a table if necessary. lim ( 1+ 2 ) 4. The cost to fly a miles on American Airlines could be approximated by the equation C(x) = 0.0738x + 111.83. Find and interpret lim C(x). I - + 00 5. A company training program has determined that, on the average, a new employee produces P(S) items per day after s days of on-the-job training, where P(s) =- 63s s + 8. Find and interpret lim P(s). I -+ 0o 6. A certain manufacturer makes a line of luxurious chairs. It is estimated that the total cost of making x luxurious chairs is C(x) = 350x + 200000 dollars per year. Find and interpret lim C(x). Page 2