12 Find the equation and sketch the graph of a rational function that passes through (0,0)...
Find al vertical asymptotes and create a rough sketch of the graph near each asymptote Select the correct choice below and, if necessary, fit in the answer boxes) to complete your choice O A The function has one vertical symptote (Type an equation. Usenteers or fractions for any numbers in the equation) OB. The function has three vertical asymptotes. The most asymptote is the middle asymptotes and the rightmost asymptotis (Type an equations. Use integer or fractions for any numbers...
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,...
O POLYNOMIAL AND RATIONAL FUNCTIONS Writing the equation of a rational function given its graph 3 . The figure below shows the graph of a rational functionſ. It has vertical asymptotes x -1 and x=6, and horizontal asymptote y The graph has x-intercept 4, and it passes through the point (2, -1). 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...
Find the vertical, horizontal, and oblique asymptotes, if any, for the given rational function. Q(x) = 5x^2 - 13x - 6/3x^2 - 7x - 6 Select the correct choice below and fill in any answer boxes within your choice. The vertical asymptote(s) is/are x = (Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) There is no vertical asymptote. Select the correct choice below and fill in any answer within your...
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 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....
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....
Begin by graphing the absolute value function, f(x)= |x|. Then use transformations of this graph to graph the given function. g(x)-3 x-2| +4 What transformations are needed order to obtain the graph of g(x) from the graph of f(x)? Select all that apply. A. Vertical shift B. Reflection about the y-axis C. Vertical stretch/shrink D. Horizontal shift E. Reflection about the x-axis F. Horizontal stretch/shrink Choose the correct graph below. O C. O D. O A. ОВ. A V 40...
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)...
5. For the graph of this rational function, state the domain and write the equations of any asymptotes and coordinates of any hole. 4M Domain : Hole : Vertical asymptote(s) : Horizontal Asymptote : 6. For the graph of this rational function, identify the equations of any asymptotes and the coordinates of any hole. f(x) = - 2x + 10 x x? - 25 4M V.A.: