1. (1 point) Find the value of the constant c that makes the 5. (1 point) Find a value of the constant &, if possible, at following function continuous on (-,). which f(s ) = cs+9 ifse (-, 8] f (x ) = *5-3 les? -9 ifsE (8,0) -Arth x>-3 is continuous everywhere. k = (enter "none" if no value). Answer(s) submitted: Answer(s) submitted: (incorrect) (incorrect) 2. (1 point) Find the value of the constant b that makes the 6. (1 point) Use interval notation to indicate where following function continuous on (-30,0). X - 8 Jar -1 ifx54 f(x) = f(x) = 1 ( x - 4) (x+1) -4x+b ifx >4 is continuous. b= Now draw a graph of f. is continuous on Answer(s) submitted: Answer( s) submitted: incorrect) (incorrect) 7. (1 point) 3. (1 point) Show that f (x ) = 5x -6 ifx 5. Answerts) submitted. 15 15 not 15 not Answer(s) submitted: is not (incorrect) (correct) 13. (1 point) 9. (I point) Use the given graph of the function to find the Find lim view(:/) x-values for which / is discontinuous. Answerts) submitted: (incorrect) 14. (1 point) Suppose -Ar - 10 5 /(x)5x -6 Use this to compute the following limit. Answer (separate by commas): x= lim /(x) Answer: Note: You can click on the graph to enlarge the image. Answerts) submitted: What theorem did you use to arrive at your answer? Answer: (incorrect) Answers) submitted:incorrect) 19. (1 point) 15. (1 point) If Evaluate the limit: 6x - 3 -5 7 1. at x = 37 Calculate the following limits. Enter DNE if the limit does not 72. at x = 47 exist. Answerts) submitted: lim /(x) = lim /(x) = (incorrect) *-4-5+ 18. (1 point) Evaluate the limit lim /(x) = tan Br Answer(s) submitted: lim 1 0 sinar Answers) submitted: (incorrect) (incorrect)incorrect 23. (1 point) Evaluate the following limits: 28. (I point) Evaluate the following limits lim 143X-3 lim Ilr' -4r - 5 9-7x-7r IIr -4 -5x 2. lim 9-7x-73 Jim 143-X-3 Answer(s) submitted: 2 lim 145-X-51 (incorrect) Answers) submitted: 29. (I point) Evaluate lim -4r +72 -5. Limit =_ (incorrect) Answer(s) submitted: 24. (1 point) Find lim 1 +8+ 8-x (incorrect) Enter I for so, -I for -, and DNE if the limit does not 30. (I point) Evaluate the limit exist. lim (10-x)(2 + 4x) Answer: - (3- 1 1x) (10+ 5x) Answer(s) submined: Answerts) submitted: (incorrect) 25. (I point) Find lim (incorrect) X-16 31. (1 point) Enter I for so, -I for -so, and DNE if the limit does not exist Evaluate the following limits. (a) Answer. Answert's) submitted lim (incorrect) 26. (1 point) Find the following limit. lim lim *+2 15X+8 Limit: help (limits) [NOTE: If needed, enter INF for s and MINF for -9.] Answers) submitted: Answer(s) submitted: (incorrect) 27. (1 point) Evaluate (incorrect) lim In(x -2) 32. (1 point) Find the following limit. Enter I for co, -I for -o, and DNE if the limit does not exist. Notes: Enter "DNE" if limit Does Not Exist. -be+2p lim Limit = Answer(s) submitted: Answerto) submined: [Incorrect)33. (1 point) Find the following limit. 38. (1 point) For the equation Notes: Enter "DNE" if limit Does Not Exist. X + sin (x) = -1 Ar' tax-8 lim 14--5-Ar+1 does the intermediate value theorem show at least one solution Answers) submitted. on the interval [-J.0)? . Yes, it shows there must be at least one solution (incorrect) . No, it is not conclusive 34. (1 point) Find the following limit. . No, it show no solutions Notes: Enter "DNE" if limit Does Not Exist. Answer(s) submitted: lim In (incorrect) Answerfs) submitted: 39. (1 point) Let f be continuous on [-10,-7], where /(-10) = 6 and /(-7) = 2. Can we conclude that a value (incorrect) -10