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...
The figure below shows the graph of a rational function. It has vertical asymptotes x = 1 and x = 6, and horizontal asymptote y=0. The graph has x-intercept 3, and it passes through the point (5,-2). The equation for f(x) has one of the five forms shown below. Choose the appropriate form for f(x), and then write the equation. You can assume that f(x) is in simplest form. :() (*) - a(x-6) X- 10 S(x) = (x - 2)(x...
The figure below shows the graph of a rational functionſ. It has vertical asymptotes x-1 and x-5, and horizontal asymptote y 0. The graph does not have an x-intercept, and it passes through the point (-4,-2). The equation for f(x) has one of the five forms shown below. Choose the appropriate form for f(x), and then write the equation. You can assume that f(x) is in simplest form. (0) -8 X-b a(x - 1) X-C (x - 2) (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
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.
The graph of a rational function f is shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes", Use the graph to complete the following. (a) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary. Select "None" as necessary. : None O=o (0,0) Dando Vertical asymptote(s): 1 Horizontal asymptote(s): U [0,0] (0,0) (0,0) O ovo 00 - - -8 EEE-- - -6 1 (b)...
Create a rational function such that the graph of has vertical asymptotes at x=5 and x= -7, a hole at x=2 , and a horizontal asymptote at y = 14. By creating a rational function, you are to write rule for this function. There are many correct solutions here.
The graph of a rational function fis shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes". Use the graph to complete the following. (a) Find all x-intercepts and y-intercepts. Check all that apply. X-intercept(s): 4 00 01 None . : O=D y-intercept(s): 01 04 00 None Dando None (0,0) HHH [0,0] (0,0] [0,0) (b) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary....
Graph the following rational function and find the asymptotes, determine if the horizontal asymptotes cross with the graph. x+2 f(x) = 3.x-8r-3
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...
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