7. Graph the rational function and answer following question hx) 2 -2x+7 horizontal and vertical asymptotes...
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....
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.
12 (Rational Functions) For each rational function below, find (a) the vertical asymptote(s). (b) the horizontal asymptote. (c) the x-intercept(s). (d) the y-intercept. (e) the graph of the function. 2x-6 (1) y X-2 x-5 (2) y 1+ x2-1 12 (Rational Functions) For each rational function below, find (a) the vertical asymptote(s). (b) the horizontal asymptote. (c) the x-intercept(s). (d) the y-intercept. (e) the graph of the function. 2x-6 (1) y X-2 x-5 (2) y 1+ x2-1
Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of the rational function. 3x2+6 f(x)x+2 Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. The equation of the vertical asymptote is O B. There is no vertical asymptote. (Type an equation.)
Give the equations of any a) vertical and (b) horizontal asymptotes for the graph of the rational function y=f(x). 4-6x fx)-3x+6 a. Select the correct choice below and, if necessary, il in the answer box to complete your choice. A. There is one vertical asymptote The equation of the vertical asymptote is ied OB There are two vertical asymptotes From left to right on the graph, the equations of the vertical asymptotes are囚and ° C. There are no vertical asymptotes....
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)...
Define a rational function with all of the following properties: The vertical asymptotes are t = 2 and t - 4 There is a horizontal asymptote at y = 0 The vertical intercept is at y = 3 The horizontal intercept is at t = 5
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.
Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational function. 10x R(x)- Select the correct choice below and fill in any answer boxes within your choice. O A. The vertical asymptote(s) is/arex O B. There is no vertical asymptote Select the correct choice below and fill in any answer boxes within your choice. O A. The horizontal asymptote(s) is/are y 0 B. There is no horizontal asymptote. Select the correct choice below and fill in any...
Give the equations of any vertical asymptotes for the graph of the rational function. (x+4)(x-7) f(x) = (x - 5)(x-7) Select the correct choice below and fill in any answer boxes within your choice. O A. The vertical asymptote is x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OB. There is no vertical asymptote.