ALL SCREENSHOTS ARE NUMBERED EXCEPT FOR THE FIRST ONE! Also, when you respond, please number it as well so I know which of your answers go to. There are 15 TOTAL questions, THANK YOU!!

Find the limit if it exists. lim x(x 2) x>8 Select the correct choice below and, if necessary, ll in the answer box to complete your choice. O A- lim x(x - 2) = (Simplify your answer.) x-rS B. The limit does not exist. Click to select and enter your answer(s). Save for Later x- 5 Let f(x) = |x - 5/ [. Find a) lim f(x), b) lim f(x), c) lim f(x), and d) f(5). X-+5+ X-5- X - 5 a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f(x) = (Simplify your answer.) x- 5* O B. The limit does not exist. b) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f(x) = (Simplify your answer.) 1- 5- O B. The limit does not exist. c) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f(x) = (Simplify your answer.) X-5 O B. The limit does not exist. d) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. f(5) = (Simplify your answer.) O B. f(5) does not exist. Click to select and enter your answer(s). ? Save for Laterf(7 + h)-f(7) Find lim if f( x) = 5x - 7. h- 0 h f ( 7 + h ) - f(7 ) lim h - 0 h = 1 (Simplify your answer.) Enter your answer in the answer box. ? Save for LaterRefer to the graph of y= f(x) to the right to describe the behavior of lim f(x). Use - co and on where + x>-1 appropriate. Select the correct choice below and ll in any answer boxes in your choice. OA- lim f(x)= + x->-1 (9 B. The limit does not exist and is neither co nor co. Click to select and enter your answer(s). @9@ Save for Later x23x10 Find the limits in a) through c) below for the function f(x) = _ 5 . Use - co and co when appropriate. a) Select the correct choice below and ll in any answer boxes in your choice, O A- Iim ftx)= E (Simplify your answer) xr5' 3. The limit does not exist and is neither - 00 nor 00. b) Select the correct choice below and ll in any answer boxes in your choice, 0 A- Iim f(x) = (Simplify your answer.) x>5 (Q B. The limit does not exist and is neither - co nor co. 1:) Select the correct choice below and ll in any answer boxes in your choice, 0 A- Iim f(x)= (Simplify your answer.) x>5 3. The limit does not exist and is neither - 00 nor 00. Click to select and enter your answer(s). Save for Later Find each function value and limit. Use - co or on where appropriate. _ 9x + 7 f(X) _ 7x - 2 (A) f(10) (B) f(100) (C) Iim x) xmo (A) {(10) = 1 (Round in the nearest thousandth as needed.) (B) 100) = 1 (Round to the nearest thousandth as needed.) (0) Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 0 A. 9x+ 7 7 lim 7 _ 2 = J X>O X (Round to the nearest thousandth as needed.) B. The limit does not exist. Click to select your answer(s). Save for Later Find the horizontal and vertical asymptotes of f(x), X6 W) = x4 + 1 Find the horizontal asymptotes. Select the correct choice below and ll in any answer boxes within your choice. 0 A- The horizontal asymptote(s) can be described by the line(s) C (Type an equation. Use a comma to separate answers as needed.) B. There are no horizontal asymptotes. Find the vertical asymptotes, Select the correct choice below and ll in any answer boxes within your choice. 0 A- The vertical asymptote(s) can be described by the |ine(s) (Type an equation. Use a comma to separate answers as needed.) (9 B. There are no vertical asymptotes. Click to select and enter your answer(s). Save for Later Find the horizontal and vertical asymptotes of f(x), f _ i (x) _ x - 2 Find the horizontal asymptotes. Select the oorrect choice below and ll in any answer boxes within your choice. 0 A- The horizontal asymptote(s) can be described by the line(s) (Type an equation. Use a comma to separate answers as needed.) (9 B. There are no horizontal asymptotes. Find the vertical asymptotes. Select the correct choice below and ll in any answer boxes within your choice. O A- The vertical asymptote(s) can be described by the line(s) . (Type an equation. Use a comma to separate answers as needed.) (D B. There are no vertical asymptotes. Click to select and enter your answer(s). Save for Later Sketch a possible graph of a function that satisfies the following conditions at x = 2 and discuss the continuity of fat x = 2. f(2) = - 1 and lim f(x) = 1 x-+ 2 Choose the correct graph below. O A. O B. O C. OD. Af( x) Q AVX) AT(X) AT(X) 5 Is the function continuous at x = 2? O A. The function is discontinuous at x = 2 since lim f(x) # f(2). X -+ 2 O B. The function is continuous. O C. The function is discontinuous at x = 2 since lim f(x) does not exist. x- 2 O D. The function is discontinuous at x = 2 since f(2) does not exist. 12 Click to select your answer. Save for LaterUse the graph of the function f shown to estimate the indicated quantities to the nearest integer. a. Find the limit lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim f(x) = X- - 3 O B. The limit does not exist. b. Find the limit lim f(x). -+-3* Select the correct choice below and, if necessary, fill in the answer box to complete your choice. . lim f(x) = X- -3* O B. The limit does not exist. c. Find the limit lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f(x) = X- - 3 O B. The limit does not exist. d. Find the function value f( - 3) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. f(-3) = B. The value does not exist. 13 e. Is f continuous at x = - 3? No Yes Click to select your answer. Save for LaterDetermine where the function f(x) is continuous. f(x) = 4x2 + 64 The function is continuous on the interval 1 . (Type your answer in interval notation.) Enter your answer in the answer box. E3 To the right is the graph of the greatest integer function, which is denoted by [x] and is defined as [x] = greatest integer s x. Answer a) through e) below about f(x) = [x]. a) Is f continuous from the right at x = - 2? O Yes No b) Is f continuous from the left at x = - 2? O No Yes c) Is f continuous on the open interval ( - 2, - 1)? Yes No d) Is f continuous on the closed interval [ - 2, - 1]? Yes No 15 e) Is f continuous on the half-closed interval [ - 2, - 1)? O No Yes Click to select your answer. ? Save for LaterUse the graph of the function fshown to estimate the function value f( - 1.5). Find the function value, Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 0 A- f(-1.5)=: (Type an integer.) (D B. The function does not have a value. Click to select and enter your answer(s). Save for Later Use the graph ol the function fshown to estimate the following limits and the function value. Complete parts (A) through (D). (A) Find Iim t(x). Select the correct choice below and, it necessary, ll in the answer box to complete your choice. x>2 ' O A- Iim f(x)= (Type an integer.) xaz 7 3. The limit does not exist. (5) Find lim x) Select the correct choice below and. if necessary. ll in the answer box to complete your choice xaz ' O A- lim f(x)= (Type an integer.) x-v2 B. The limit does not exist. (0) Find lim x). Select the correct choice below and, if necessary, ll in the answer box to complete your choice. xaz O A lim f(x)= 1 (Type an integer.) H2 3. The limit does not exist. (D) Find the function Value ((2). Select the correct choice below and. it necessary, ll in the answer box to complete your choice. 0 A. 1(2) = (9 B. The function does not have a value. 7' (Type an integer.) Click to select and enter your answer(s). Save for Later Find the limit if it exists. lim 4x x>2 Select the correct choice below and, if necessary, ll in the answer box to complete your choice. O A- lim 4x = (Simplify your answer.) x->2 B. The limit does not exist. Click to select and enter your answer(s). Save for Later