Finding vertical asymptotes Find all vertical asymptotes x = a of the following functions. For each value of a, determine
34.
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- Let's end with a harder one. Think through the composition. You can do it! The graph below depicts a function f(x). Its two asymptotes are indicated in red: The graph below depicts a function g(x). Its one asymptote is indicated in red: 5- -4 -5 -4 -3 -2 -/ -4 -5+ lim g(f(æ)) lim 9(f(x)) lim 9(f(x)) lim g(f(x)) = x → -1arrow_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_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_forwardhelparrow_forwardThe 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.) 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_forwardarrow_back_iosarrow_forward_ios
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage