5. (5 pts) a. Write the equation for a rational function r(x) that has a vertical...
any ideas? 4. 16 pts) Find the vertex of the quadratic function (x) = -22-20x+8 by completing the square and writing in the vertex form $(x) = (x - 1)'+k. #4: 5. (5 pts) a. Write the equation for a rational function r(x) that has a vertical asymptote at x=-7. a horizontal asymptote at y = 1. and a y-intercept at (0,2). #Sa: b. Find the x-intercept for your function #5b: Page 3 of 4
Write an equation for a rational function with: Vertical asymptotes at x = -3 and x = 5 x intercepts at x = -1 and x = 4 Horizontal asymptote at y=9 y = Preview
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
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.
5. For each of the rational functions below: 2x + 1 (a) f(x) = x2 (b) g(x) = 2 find 2 + 1 3.12 (c) h(x) = T .x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all r-intercept(s) (if any); (v) all y-intercept(s) (if any). Write yotir answers in the following table: ydir polynomial domain Vertical Asymptote Horizontal...
Find the vertical, horizontal, and oblique asymptotes, if any, of the given rational function x-8 R(x) Find the vertical asymptote(s), if any, of the function. Select the correct choice below and fill in any answer boxes within your choice O A. The vertical asymptote(s) is/are x- O B. There is no vertical asymptote. x2-5x +6 (Simplify your answer. Use a comma to separate answers as needed.)
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...
5. For each of the rational functions below: 2.0 + 1 x² +1 (a) f(x) = (b) g(x) = . 2 2 find (c) h(x) = 3.2 x2 - 3.x + 2 (i) the domain of the function (use intervals to give your answers); (ii) all vertical asymptote(s) (if any); (iii) all horizontal asymptote(s) (if any); (iv) all z-intercept(s) (if any); (v) all y-intercept(s) (if any). Write your answers in the following table: polynomial domain Vertical Asymptote Horizontal Asymptote x-intercept...
Write a rational function f that has the specified characteristics. (There are multiple correct answers) a) Vertical asymptote: NONE Horizontal asymptote: y=2 Possible Function: b) Vertical asymptote: x=0 , x=5/2 Horizontal asymptote: y = -3 Possible Function: If you could also explain the steps to me, that'd be great. Thank you
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...