3) Given the following 3x-16x +14x-49 f (x) x-Sx What is the equation of the vertical asymptotes? a) b) What is the...
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
Please tell me which options I
need to select and what I have to type in. Thank you!
3-3x For the given rational function f(x)- x- find the following (A) Find the intercepts for the graph. (B) Determine the domain. (C) Find any vertical or horizontal asymptotes for the graph (D) Sketch any asymptotes as dashed lines. Then sketch a graph of y f(x) (A) Identify the x-intercepts, if there are any. Select the correct choice below and, if necessary,...
9. Given f(x) = 2x4 - 15x + 3x2 - 14x + 25, determine all of the possible rational zeros of f(x) by filling in the appropriate information below. [5 Points] p: +{ q: +{ Possible Rational Zeros of f(x) Max Number of Real Zeros: Max Number of Turning Points: x2+x-12 10. Use the rational function R(x) = to answer the questions below. [10 Points) x2-16 For parts (a-c) determine the equation of each asymptote if it exists. For part...
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...
7. Given f(x)=_x - 2x x--3x-4 a. Why does f define a function? b. Find Dom fand Range f. c. Graph y = f(x) in detail. Include intercepts, symmetry, and asymptotes, including limit behavior for the asymptotes. d. Find the point where the graph crosses the horizontal asymptote.
Find the horizontal asymptote of the given function. 35) f(x) - 4x2.3 4x2.3 A) Y-3 C) y - 1 B) y--3 D) None Sketch the graph of the rational function. Indicate the equations of the vertical and horizontal asymptotes and the y-intercept. 40) f(x)* Vertical Asymptote: Horizontal Asymptote y-intercept 36) gix) x2 + 8x - 5 x-5 A) y - 5 C) None B) y = 0 D) y - 8 37)(x) x2.5 A) y = 0 C) None B)...
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
show work
7) Given g x=3 and f x =logx, fill in each blank with the appropriate letter, A-D. Some letters may not be used or may be used more than once. [8 pts.) __ the domain off __the asymptote of g | A. (0,00) B. (-00,00) _ the asymptote off _the range of g C. x = 0 D. y = 0 8) Given the following piecewise function, give the coordinates of any open endpoints and any closed endpoints...
1. Consider the curve given by the function f(x) = -4.83 27(x + 1)2 You are given that -4x²(x +3) - 8.1 f'(x) = and f"(x) = 27(x + 1)3 9(x + 1)4 Compile the following information about f(x) and its graph. Show your work to justify your answers to parts (f), (g), (h), (i) and (j). Otherwise, give answers only. Answer "NONE” if the function does not display a feature listed. 1] (a) Domain of f (b) x and...
3. Determine an equation of a rational function of the form f(x)= ar+b cx+d with x-intercept of 1/4, y-intercept of -1/2, vertical asymptote at x =-2/3, and horizontal asymptote at y = 4/3.