For the following function, find the hole, x-intercept, y-intercept, vertical asymptote, horizontal asymptote, and oblique 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)...
7. For each function below, find the intercept(s) (if any) and asymptote(s) (both horizontal and vertical, if any), and then sketch the graph with- out using a calculator; you must properly mark/label the ares, all in- tercept(s), horizontal or vertical asymptote(s) to get full credits: (i) y = 22-1 – 2 (ii) y=1- log2 (x + 2) x-intercept: 2-intercept: y-intercept: y-intercept: Asymptote: Asymptote: Graph: Graph:
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...
3. Find the horizontal, vertical, or oblique asymptote(s) for the following functions. If there is no asymptote, say so. 9 (a) y=r- (b) y= (C) y = 1-12 (d) y = 22 +4 12+1
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...
5x2 3. Find all of the asymptotes of the rational function f(x) = Vertical Asymptote(s): Horizontal Asymptote: Slant/Oblique Asymptote:
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
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.)
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.
Construct a function that fits the following requirements: • A hole at x = -5 • A vertical asymptote at x = 1 • No horizontal asymptote • A horizontal intercept at x = -2 • A vertical intercept at (0,70) Next, find the following: • A point on your graph besides where your holes, vertical intercept, or horizontal intercepts are The value of your function where any holes in your function are. Please give your answer as a point...