Using algebra, identify the horizontal asymptote. 20) (x) = – 2-7r+ 9
There is a vertical asymptote at x=2, and a horizontal asymptote at y=3. Construct a suitable rational function f(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...
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:
17. (x+5)(x-3) 18. (7r+9)(5r-3)
ind any horizontal asymptotes. x² + 3x+2 f(x) = 2x2 - 7x-9 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The equation(s) of the horizontal asymptote(s) is/are y = (Simplify your answer. Type an exact answer using radicals as needed. Use a comma to separate answers as needed.) OB. There is no horizontal asymptote.
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
Let fx) (5x2 2x + 20)/(3 - 7x2). The horizontal asymptote is given by y ? Round your answer to 2 decimal places. Your Answer: Answer Let fx) (5x2 2x + 20)/(3 - 7x2). The horizontal asymptote is given by y ? Round your answer to 2 decimal places. Your Answer: Answer
Find the vertical asymptote (s )of the function g (x) = (x^2 -x -20) / ( x^2- 4x-5). Indicate with one-sided limits the behaviour of the function near the vertical asymptote(s)
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 =...
2x2 + 3x +6 Find the horizontal asymptote of f(x) = x²+1 Oy=-2 Oy= -1 Oy = 1 Oy = 2