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290 + 10x2 + 12 (20 pts) Consider the function f(x) 3 + 2x2 (a) Analyze...
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.
9. [4 pts] Sketch a graph of a function that satisfies the following conditions lim f(x) = -0, lim f(x) = 0 and lim f(x) = 2. Answer the following questions based on your graph a. Find all the vertical asymptotes of f(x) if it exists. b. Find the horizontal asymptotes of f(x) if it exists.
Question 17 Analyze the rational function and select the completely correct statement: r (x) 2x2 + = -6 22-4 Zero at x = -3/2 and x = 2. Vertical Asymptote at x = -2, Horizontal asymptote at y = 2 Vertical asymptotes at x = -2 and x = 2, Zeros at x = 3/2 and x = 2 Horizontal asymptote at y = 3/2, Hole at x = -2, Vertical Asymptote at x = 2 Hole at x =...
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...
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
(10 pts ea) In Exercises 1 - 4, for the given rational function f: Find the domain off. Identify any vertical asymptotes of the graph of y = f(x). Identify any holes in the graph. Find the horizontal asymptote, if it exists. Find the slant asymptote, if it exists. 1) f(x) = ***
geometric sequence and expon Let f(x) = 3.2 – 202 + 25 2x2 + 52 - 12 This function has: 1) A y intercept at the point 2) x intercepts at the point(s) 3) Vertical asymptotes at x = 4) Horizontal asymptote at y =
17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) = [2 pts] 1) Find the horizontal and vertical asymptotes of f(x), if any. f(x)=x-2x=1 نر [2 pts) ii) Find all critical numbers. Note: NOT a point, just critical numbers only. [5 pts) iii) Find the intervals of increasing and decreasing then finding all local maximum minimum values. [5 pts] Find the intervals of concave upward and concave downward. [2 pts) Find inflection point, if...
Include all relevant work please. s. Consider f(x) = *** a. Find the domain. [3] b. Find any vertical asymptotes. [3] c. Determine if there are any holes. If so, give the coordinates of the hole. [2] d. Find any horizontal or oblique asymptotes. [3] e. Determine if the graph intersects a horizontal/oblique asymptote, if it exists. Show work! [3] f. Sketch a graph of the function. To receive full credit, label any x and y intercepts and the asymptotes....
Determine lim f(x) and lim f(x) for the following function. Then give the horizontal asymptotes of f, if any. 2x 12x + 2 Evaluate lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. X100 OA. lim X-00 2x 12x + 2 (Simplify your answer.) OB. The limit does not exist and is neither oo nor - 00. Evaluate lim f(x). Select the correct choice below and, if necessary, fill in...