Answer to Question #332130 in Algorithms for Jaguar

Question #332130

Consider now the function f(x) = x^4−2x^3 − 12x^2 + 16x − 4 which has four distinct roots.



Question 8


Which of the following options is FALSE?


(1) f'(x) has a local minimum at 2.



(2) f'(x) has a local maximum at −1.



(3) f(x) has no singularities and no obvious symmetries and the y-intercept is −4.



(4) f"(x) has a local maximum at x = 0.5.



(5) the two zeros of f"(x) are −1 and 2.





Question 9


Which of the following results is FALSE when applying the various methods as indicated:



(1) p = 0.88338140 when applying the secant method with starting points p0 = 0 and p1 = 1.



(2) p = 0.34170924 when applying the bisection method with the starting points p0 = 0 and p1 = 1.



(3) p = 0.34170924 when applying Newton’s method with starting point p0 = 0.



(4) p = 0.88338140 when applying Muller’s method with starting points p2 = 0, p0 = 1 and p1 = 5.



(5) p = 4.04823531 when applying the regula falsi method with starting points p0 = 1 and p1 = 5.

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