Find all vertical and horizontal asymptotes for the rational function f(2)= 22+1 22 Instructions: Sketch all...
Find all vertical and horizontal asymptotes for the rational function 1-1 2+1 Instructions: Sketch all vertical and horizontal asymptotes [Note: to sketch a line, first verify that line icon has been selected (i.e. it should be a reddish color, if not, click it), then click on any two points on that line)
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
A rational function is given. f(x)= 6x2+1/2x2+x-1 Find all vertical asymptotes, if any, of the graph of f. Find all horizontal asymptotes, if any, of the graph of f.
5x2 3. Find all of the asymptotes of the rational function f(x) = Vertical Asymptote(s): Horizontal Asymptote: Slant/Oblique Asymptote:
Determine the L- and y-intercepts (if any), and vertical and horizontal asymptotes of the rational function r, given by 3.x2 + 18x + 24 r(x) = x2 – 3x + 2 and then use this information to sketch a graph of r. As part of your analysis, you should explicitly examine the behaviour of the function on both sides of each vertical asymptote, and evaluate the function at appropriate test points.
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.
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...
help pls 4. Find the horizontal and vertical asymptotes of the graph of the function. (You need not sketch the graph). * (3 pts) g(t) = t(+1 2t2 -1 4. Find the horizontal and vertical asymptotes of the graph of the function. (You need not sketch the graph). * (3 pts) g(t) = t(+1 2t2 -1
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
Find the vertical, horizontal, and oblique asymptotes, if any, of the given rational function x-8 R(x) Find the vertical asymptote(s), if any, of the function. Select the correct choice below and fill in any answer boxes within your choice O A. The vertical asymptote(s) is/are x- O B. There is no vertical asymptote. x2-5x +6 (Simplify your answer. Use a comma to separate answers as needed.)