Find an equation of the slant asymptote of function y = = -6° +2° +3 223-
find the slant asymptote
48. y = - 6x² + 2x² +3 2x - x 2x3 - x
Question 2 (1 point) Find the slant asymptote x +x-2 2+1 Oy=x-1 O y=x O y=x+1 y=x-2
5x2 3. Find all of the asymptotes of the rational function f(x) = Vertical Asymptote(s): Horizontal Asymptote: Slant/Oblique Asymptote:
Given:
a) determine the equation of the vertical asymptote
b) show that this function doesn't have a horizontal
asymptote
c) determine the equation of the slant asymptote when x goes to
+ infinite
f(x) - 2.2(3e" +1) er-1
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)...
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:
-6. (8 points) Find a rational function with the following features: (a) horizontal asymptote at y = 0; (b) poles at r = 2 and 2 = -2: (c) zeros at = -1 and 1 = 5. ? 2
Let f(x) = 4 x² +7 x – 3 (a) Find the vertical asymptote(s) of the graph of f(x). x = (b) Find the horizontal asymptote(s) of the graph of f(x). y = (c) Find the slant asymptote(s) of the graph of f(x). y = Note: Use a comma-separated list for multiple answers or the word NONE if no such asymptote exists.
There is a vertical asymptote at x=2, and a horizontal asymptote at y=3. Construct a suitable rational function f(x).
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