Finding vertical asymptotes Find all vertical asymptotes x = a of the following functions. For each value of a, determine
33.
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus (10th Edition)
University Calculus: Early Transcendentals (4th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculus and Its Applications (11th Edition)
- The graph below is the function f(x) 25+ 20 15 10 10 15 20 25 25 -20 -15 -10 -5 -5 -10 -15 -20 -25 lim f(x) = f(- 5) = 5.arrow_forwardExplain why the function is discontinuous at the given number a. (Select all that apply.) x2 - 4x if x + 4 f(x) = x2 - 16 a = 4 if x = 4 O lim f(x) does not exist. х-4 lim f(x) and lim f(x) are finite, but are not equal. x-4+ X-4- O f(4) is undefined. O f(4) is defined and lim f(x) is finite, but they are not equal. O none of the above Sketch the graph of the function. Need Help? Talk to a Tutor Read Itarrow_forwardThe graph below is the function f(x) -4 -5 -4 -3 Determine the following values. Enter "DNE" if a value does not exist, enter "oo" (lower case "o") if the limit approaches positive infinity, or "-00" if the limit approaches negative infinity. lim f(x) = I+-2 lim I+ - 2+ f(x) = lim f(x) = I+ -2 f(- 2) = Add Work Check Answer 26 étv 151LR RNIG MacBook Pro Q Search Default #3 2$ & * ) 3 4 6. 7 8 R T Y U * 00arrow_forwardhelparrow_forwardExplain why the function is discontinuous at the given number a. (Select all that apply.) 2x2 7x – 4 if x + 4 f(x) X - 4 a = 4 8. if x = 4 lim f(x) and lim f(x) are finite, but are not equal. X→4+ X→4 O f(4) is undefined. f(4) and lim f(x) are finite, but are not equal. X→4 lim f(x) does not exist. X→4 none of the above Sketch the graph of the function. y y y 12 12- 12 10 10 10 8 8. 8 6. 6. 6. 4 4 2 2 4 8 10 12 2 4 8 10 12 4 8 10 12 C y 12 10 2.arrow_forward1. Graph the function below , then identify the vertical and horizontal asymptote. 1. Consider the function f(x) below: Complete the sentence: The function f(x) above A: is or B: is not continuous because A: it does or B: does not have asymptotes. Consider the function f(x) below: Complete the sentence: The function g(x) above contains a A: horizontal or B: vertical asymptote at A: y = 1, B: y = 2, C: y = 3 or D: y = 4 and a A: horizontal or B: vertical asymptote at A: y = -3, B: y = -1, C: x = -3, D: x = -1 . It also contains a point of discontinuity at A: (2,3), B: (-2,3), C: (2,-3), or D: (-2,-3) .arrow_forwardFind the vertical asymptotes (if any) of the graph of the function f(x) = csc xarrow_forwardExplain why the function is discontinuous at the given number a. (Select all that apply.) 2x2 – 7x – 4 - if x + 4 f(x) х — 4 a = 4 if x = 4 lim f(x) and lim f(x) are finite, but are not equal. X→4+ X→4- f(4) and lim f(x) are finite, but are not equal. X→4 f(4) is undefined. lim f(x) does not exist. X→4 none of the abovearrow_forwardarrow_back_iosarrow_forward_ios
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage