x=3 is hole
function has roots at x=-5 (the points where f(x)=0)
function vertical asymptote at x=-3 (the point where function tends to infinite)
(E) The function has a hole at x=3 and vertical asymptote at x=-3
x+2x-15 f(3)= -9 Questions 4-5: Consider the function #4 Which of the following statements is correct?...
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(1 point) For the function x – 4 f(x) = (-2x + 3)(5x + 9)? What are the vertical asymptotes? Give a list of the x-values of the asymptotes separated by commas. X = What is the horizontal asymptote? y =
r2 Consider the function f(x) x2 - 9 For the following questions, write inf for 0, -inf for -00, U for the union symbol, and NA (ie. not applicable) if no such answer exists. a.) f'(x) = b.) f(x) is increasing on the interval(s) c.) f(x) is decreasing on the interval(s) d.)f(x) has a local maximum at e.)f(x) = f.)f(x) is concave up on the interval(s) 9.)f(x) concave down on the interval(s) h.) f(x) has a horizontal asymptote y =...
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3-3x For the given rational function f(x)- x- find the following (A) Find the intercepts for the graph. (B) Determine the domain. (C) Find any vertical or horizontal asymptotes for the graph (D) Sketch any asymptotes as dashed lines. Then sketch a graph of y f(x) (A) Identify the x-intercepts, if there are any. Select the correct choice below and, if necessary,...
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s. Consider f(x) = *** a. Find the domain. [3] b. Find any vertical asymptotes. [3] c. Determine if there are any holes. If so, give the coordinates of the hole. [2] d. Find any horizontal or oblique asymptotes. [3] e. Determine if the graph intersects a horizontal/oblique asymptote, if it exists. Show work! [3] f. Sketch a graph of the function. To receive full credit, label any x and y intercepts and the asymptotes....
Find the domain of the function. (Enter your answers as a comma-separated list.) 3 x-2 The domain of f(x) is all real numbers except x = Find the vertical asymptotes and horizontal asymptotes of the function. (Enter your answers as comma-separated lists of equations.) vertical asymptote(s) horizontal asymptote(s) Additional Materials eBook Find the Intercepts, Asymptotes, and Hole of a Rational Function 24. [-/3 Points] DETAILS OSCAT1 5.6.396. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the domain of the function....
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 =...
Determine lim f(x) and lim f(x) for the following function. Then give the horizontal asymptotes of f, if any. 2x 12x + 2 Evaluate lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. X100 OA. lim X-00 2x 12x + 2 (Simplify your answer.) OB. The limit does not exist and is neither oo nor - 00. Evaluate lim f(x). Select the correct choice below and, if necessary, fill in...
6. For the function. 2+x- -2x+14 (x-1)4 r-l) Find domain. Il Find vertical and horizontal asymptotes. Examine vertical asymptote on either side of discontinuity b. 13] c. Find all intercepts. d. Find critical points. Find any local extrema. e. 121 Page 7 of 12 13) f. Find points inflection. 13) g. Sketch. Label: . Intercepts Asymptotes Critical Points) Point of Inflectionfs)
6. For the function. 2+x- -2x+14 (x-1)4 r-l) Find domain. Il Find vertical and horizontal asymptotes. Examine vertical asymptote...
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 =...
Give the equations of any vertical asymptotes for the graph of the rational function. (x+4)(x-7) f(x) = (x - 5)(x-7) Select the correct choice below and fill in any answer boxes within your choice. O A. The vertical asymptote is x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OB. There is no vertical asymptote.