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The graph of y = f(x) is shown to the right. Identify the intervals on which...
The graph of y=f(x) is shown to the right. Identify the intervals on which f(x) is increasing 1h Which of the following shows every interval on which f(x) is increasing? Choose the correct answer below A. (b.c), (e,t). (g.h) O C. (5.c), (0,1),(g,h) OB. (a.c), (e.f). (g.h) OD. (a.c), (d.1)
The graph of y(x) is shown to the right. Identily the intervals on which f'(x) <0. Which of the following shows every interval on which f(x) <0? Choose the correct answer below. O A. (b,d), (g) C. (a,b). (c.e). (g) O B. (a,b). (ce) O D. (a,b), (c,d), (g) Click to select your answer
(5) Let X, i = 1,...,n be iid sample from density fx(x) = f(x) e-/201(x > 0), 4 > 0 V TO (a) Find k. (b) Find E(X). (c) Find Var(X). (d) Find the MLE for 0. (e) Find MOM estimator for A. (f) Find bias for MLE. (g) Find MSE of MLE. (h) Let Y = x, find probability density function of Y. (i) Let Y = X?, find cumulative distribution function of Y. 5
5. Let f(x) = arctan(In x) for all x >0. A graph of y = f(x) is shown in the figure. (a) Find the formula for the derivative f'(x). Then explain how you can deduce from this formula that f is invertible. (b) Find the formula for f-1(x), the inverse of f. (c) What is the domain and range of f-1? (d) Sketch a graph of the function y=f-1(x). (e) Now determine the value of (F-1)(0) using your results from...
The graph of f(x) is shown. At which of the point(s) is f '(x) >0 and f "(x) < 0? List all points where both f '(x) > 0 and f '(x) <0. If there is only one point where this is true, list it. If there is more than one point, list them all and separate the answers by commas. If there is no such point, type N.
12. What value of c make the function f(x) = (x2 – 3x when x > 2 continuous when x = 2? 14x + 2c when x < 2 a)-5 b)-3 c) 0 d) 1
f(x+h)-f(x) a) Find the difference quotient- -> (assume h + 0) for f(x) = x2 + 3x + 4 b) Find the inverse algebraically of g(x) = 2x-3
For the given graph of f(x) below, use interval notation to express the solution to f(x) > 0. -7-675-- -2 -1 A) (0,0) B) (-5,2) u (5, 9) c) (0,3) D) (-00,-5) u (2,5)
3 points) 5. Given the graph of f(x) below, identify the following: f(x) -+ a. Intervals where f(x) is increasing: b. Intervals where f(x) is concave up: c. x-coordinate(s) where f'(x) appears to be 0: d. x-coordinate(s) where f(x) appears to have an inflection point: e. x-coordinate(s) where f'(x) does not exist: f. x-coordinate(s) where f(x) appears to have an absolute maxima:
Find all values x= a where the function is discontinuous. 7 if x <4 f(x) = x- 9 if 4 sxs7 7 if x>7 O A. a=7 O B. a=9 OC. a=4 OD. Nowhere