Question 13 (1 point) How many critical numbers does the function f(x) = 2x - 3x2...
How many critical numbers does the following function have? f(x) = x²e-32 1 3 N Infinitely many 0
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...
need help working 1 (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 =
Question 13 (1 point) Given x + 4 a factor of f(x) = x3 - 12x +16, calculate the full factorization of f(x). OA) f(x) = (x + 22(x + 4) B) f(x) = (x-2)2(x + 4) OC) f(x) = (x + 4)(x + 2)(x - 2) OD) f(x) = (x - 22(x - 4) Question 14 (1 point) For the polynomial, one zero is given. Find all others. (Hint: You may need to use the quadratic formula.) P(x) =...
DIFFERENTIAL CALCULUS QUESTION 4 Consider the function f(x) = 3x2-2x-1 4.1. Sketch f, indicating the intercepts with the axes and the coordinate of the turning point. (S) 42.Consider the points P(-3:fC-3)and (:) 4.2.1. Plot P and Q on fand draw the line passing through them. Determine the average gradient of fbetween P and Q 4.2.2.
Suppose that the piecewise function J is defined by f(2)= {**** -1<<3 - 3x2 + 2x + 23, 2> 3 Determine which of the following statements are true. Select the correct answer below: O f() is not continuous at I = 3 because it is not defined at I = 3. Of() is not continuous at 2 = 3 because lim f(x) does not exist. f() is not continuous at I = 3 because lim f() f(3). ->3 f(x) is...
x+2x-15 f(3)= -9 Questions 4-5: Consider the function #4 Which of the following statements is correct? O(A) The function has vertical asymptotes at x 3 and -5. (B) The function has vertical asymptotes atx 3 and -3. O (C) The function has roots at x 3 and -5 O (D) The function has a hole at x -3 and a vertical asymptote at x 3. O(E) The function has a hole at x 3 and a vertical asymptote at x...
(1 point) Find the critical numbers of the function f(x) = 2x3 + 6x2 - 48.. Answer (separate by commas): <= (1 point) List the critical numbers of the following function separating the values by commas. f(x) = 6x2 + 4 List the critical numbers of the following function in increasing order. Enter N in any blank that you don't need f(x) = 2x3 + 2x2 + 20
(1 point) Consider the function f(x) = x2/5(x – 9). This function has two critical numbers A< B Then A = and B For each of the following intervals, tell whether f(x) is increasing or decreasing. (-0, A]: ? [A, B]: ? [B, 0) ? The critical number A is ? and the critical number B is ? There are two numbers C < D where either F"(x) = 0 or f'(x) is undefined. Then C= and D= Finally for...
(1 point) Given the function f(3) = 3x2 + 2x - 3 find the following (a) the average rate of change of fon (-4,1): -7 (b) the average rate of change of f on [1, 2+h]: 1