Determine the vertical asymptotes of
Determine the vertical asymptotes of 2° +4.rº f(2) = - 4.c + 6 23 + 2.62...
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.
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 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 4. Given the function f(x)- + 3)2 (a) Find any vertical and horizontal asymptotes of the function f(x) (b) Sketch the graph of f(x) 10 10 (c) Find a such that m f(x) 00. a (d) lim /(r) irm
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 21 Given that f(x)= 3x + 6 x - 4 Determine all its asymptotes. Question 22 $500 is compounded continuously at 3% APR for 4 years. Determine its future value. Round the answer to the nearest hundredth dollar. Question 23 Given that f(x) = - ex+2 + 1. Determine its range, in interval notation.
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...
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...
el Find the horizontal asymptotes 14. The graph of a rational functionf(x) is shown, together with its vertical and horizontal asymptotes. a. As x → +00, f (x) → ? b. As x-+-oo, f (x) → ? .5 C. As x →-1+, f(x)-? 5 4 3 2
el Find the horizontal asymptotes 14. The graph of a rational functionf(x) is shown, together with its vertical and horizontal asymptotes. a. As x → +00, f (x) → ? b. As x-+-oo,...
Find any vertical asymptotes f(x) = X-8 X + 2 Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function has one vertical asymptote, (Type an equation.) OB. The function has two vertical asymptotes. The leftmost asymptote is (Type equations.) OC. The function has no vertical asymptotes. and the rightmost asymptote is
Find any vertical asymptotes. f(x) = X-8 X + 2 Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The function has one vertical asymptote, (Type an equation.) B. The function has two vertical asymptotes. The leftmost asymptote is (Type equations.) OC. The function has no vertical asymptotes, and the rightmost asymptote is