-6. (8 points) Find a rational function with the following features: (a) horizontal asymptote at y...
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
2x-8 The rational function f(x)= - x2-7x+12 - has ... A horizontal asymptote at y = 2 ro A horizontal asymptote at y = 0 A horizontal asymptote at x = 2 d. A horizontal asymptote at x = 3 The domain of f(x)=log3(x) is... xin(-xxx) xin (0,x) , xin [0,x) x in(-3,0) 2x -8 The rational function f(x)=- x? -7x+10 has... - a hole at x = 3 and a VA at x =4 ന hole at x =...
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)...
Find the horizontal asymptote of the rational function. (Let y be the independent variable.) 5x2 - 11x + 6 F(x) 5- x + x2 - Need Help? Read It Watch It Talk to a Tutor Viewing Saved Work Devert to last Desnonse ttomat
5. (5 pts) a. Write the equation for a rational function r(x) that has a vertical asymptote at x = 8, a horizontal asymptote at y=1, and a y-intercept at (0, -1). #5a: b. Find the x-intercept for your function.
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.)
For the following function, find the hole, x-intercept, y-intercept, vertical asymptote, horizontal asymptote, and oblique asymptote. If something doesn't exist, enter NONE (in all caps). $(x) = 42 hole (,Y):( x-intercept (x, y):( , y-intercept (x, y):( vertical asymptote: vertical asymptote: horizontal asymptote: oblique asymptote:
PART B: Calculating Limits 1) In algebra classes you typically learn that the horizontal asymptote of a rational function (z)N() D(x) is determined by the degree of the numerator and by the degree of the denominator. That is, if the degree of N(a) is less than the degree of D(x) the horizontal asymptote is y 0 N(r) D(x) lim f(x) lim 0 If the degree of N(x) and the degree of D(x) are the same then the horizontal asymptote is...
8) Given the rational function: f(x)=x6 STEP 1: Factor the numerator and denominator of (v). Find the domain STEP 2: Write 1x) in lowest terms. STEP 3. Find the x-and y-intercepts. STEP 4: Determine the vertical asymptote(s) (VA). Does f have any holes in its graph? If so, determine the x-values of the holes STEP 5: Determine the horizontal asymptote (HA) if one exists. Determine if /intersects the HA. If fdoes intersect the HA, what is the ordered pair? STEP...
5x2 3. Find all of the asymptotes of the rational function f(x) = Vertical Asymptote(s): Horizontal Asymptote: Slant/Oblique Asymptote: