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4 6. Show that 3-1+ 1 has a solution on the interval (1,2). Justify your answer. 7 7. Use limits to determine all horizontal and vertical asymptotes for the function y = f(x)--1-1 r2 -3r 2 4...
Sketch the graph of the function. Identify 1. Vertical and horizontal asymptotes 2. X and Y intercepts 3. The interval that your function increasing or decreasing X-1 f(x) = x+2 Show all of your work on paper and submit it on canvas your won't get any credit for the last answer without submission on Canvas
please show all work Sketch the graph of the function. Identify 1. Vertical and horizontal asymptotes 2. X and Y intercepts 3. The interval that your function increasing or decreasing f(x)= X-2 x+1
Find all vertical and horizontal asymptotes of the graph of f (x) Hint: Factor the numerator and the denominator. x²-x-6 2x²+x-6 A) Vertical asymptote: x = 3 2 ; Horizontal asymptote: y = 아 OB) Vertical asymptotes: x = { and x = -2; Horizontal asymptote: y = 1 OC) Vertical asymptotes: x = { and x = -2; Horizontal asymptote: y NI- OD) Vertical asymptote: x = Ž i Horizontal asymptote: y = 1 O E). Vertical asymptotes: Y...
Let f(x) = 2-1 a) Find X and Y intercepts. b) Determine vertical and horizontal asymptotes if any. c) Calculate f'(x) and determine on which intervals f(x) is decreasing and increasing. d) Find local minimum and maximum. e) Determine concavity intervals and inflection points of f(-x) f) Plot the function. y
QUESTION 8 Find the equation(s) of all vertical and horizontal asymptotes for the function f(x) = (5x + 2)(3x-2) x² - 16 Vertical Asymptote(s): X = - Horizontal Asymptote(s): y = 15 Vertical Asymptote(s): X = -4,x = 4: Horizontal Asymptote(s): None Vertical Asymptote(s): X = -4,x = 4: Horizontal Asymptote(s): y = 15 лм am Vertical Asymptote(s): X= -4,x = 4: Horizontal Asymptote(s): y = Vertical Asymptote(s): X UN 5 Horizontal Asymptote(s): None
Determine lim f(x) and lim f(x) for the following function. Then give the horizontal asymptotes of f (if any). X00 X-20 f(x) = 40x + 2x2 17XS - 3X O A. lim f(x) = X>00 (Simplify your answer.) OB. The limit does not exist and is neither o nor -0. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. lim f(x)= X-00 (Simplify your answer.) OB. The limit does not exist...
6. For the function. 2+x- -2x+14 (x-1)4 r-l) Find domain. Il Find vertical and horizontal asymptotes. Examine vertical asymptote on either side of discontinuity b. 13] c. Find all intercepts. d. Find critical points. Find any local extrema. e. 121 Page 7 of 12 13) f. Find points inflection. 13) g. Sketch. Label: . Intercepts Asymptotes Critical Points) Point of Inflectionfs) 6. For the function. 2+x- -2x+14 (x-1)4 r-l) Find domain. Il Find vertical and horizontal asymptotes. Examine vertical asymptote...
Attempt 1 Question 7 (5 points) Find all vertical and horizontal asymptotes of the graph of f (x) = 8-12 A) Vertical asymptote: Y Horizontal asymptote: X = 4 OB) Vertical asymptote: x = 2 : Horizontal asymptote: y = -4 OC) Vertical asymptote: y = ma : Horizontal asymptote: X = -4 OD) Vertical asymptote: * = -3 Horizontal asymptote: y = -4 E) Vertical asymptote: x = - Horizontal asymptote: y = 4 OF) Vertical asymptote: x =...
Find all vertical and horizontal asymptotes for the rational function f(1) = 222 +52 - 3 22 + 2-2 Instructions: List all vertical and horizontal asymptotes separating entries by commas, if necessary. 00
2. (4+6+2+4+2+6=24 points Consider the function f(x) = -1 (a) Find any vertical and horizontal asymptotes off. (b) On what intervals is f increasing? decreasing? (c) Find all local maximum and minimum values of (d) On what intervals is f concave up? concave down? (e) Find all inflection points of f. (f) Using the information from (a) to (e), sketch a graph of J. Clearly label any asymptotes, local extrema, and inflection points.