What line is a horizontal asymptote of symplate of R (a) = ---Select--- V =
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:
There is a vertical asymptote at x=2, and a horizontal asymptote at y=3. Construct a suitable rational function f(x).
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
A function is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative infinity exists. Show that each of the following functions has a horizontal asymptote by calculating the given limit. 200 33 lim 12 + x2 - 6x + 15 12 - 113 1522 + 2 lim + 2 - 00 9 + 2 (12x – 15) 92 +6 73 – 12 lim - 13 2 - 12 2- + 152...
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...
Determine the domain, range, and horizontal asymptote of the function. f(x) = e-* + 3 o domain: (-00, 0); range: (3,0) horizontal asymptote: x = 3 o domain: (3, 0); range: (-00,00) horizontal asymptote: y = 3 o domain: (-0, 0); range: (-00,00) horizontal asymptote: None O domain: (-0, 0); range: (3, 0) horizontal asymptote: y = 3 O None of these
Question 17 Analyze the rational function and select the completely correct statement: r (x) 2x2 + = -6 22-4 Zero at x = -3/2 and x = 2. Vertical Asymptote at x = -2, Horizontal asymptote at y = 2 Vertical asymptotes at x = -2 and x = 2, Zeros at x = 3/2 and x = 2 Horizontal asymptote at y = 3/2, Hole at x = -2, Vertical Asymptote at x = 2 Hole at x =...
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...
Meaning of horizontal asymptote in the graph of increasing profit of a company
-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