all parts -- homework help 1. The graph of f, the derivative of f, is shown for – 2sxs5. On what intervals is fincreasing? Justify your answer.Graph of2. The graph of f, the derivative of a function f is shown. At what value(s) of x doesf2) have a point of inflection? Justify your answer.3. Find all values of x for which the function f defined by fx) = (x - 3)s * is increasing.Justify your answer.4. The polynomial function f has selected values of its second derivative " given in thetable. Which of the statements must be true?(A) f is increasing on the interval (0, 2)B)f has a local maximum at x =1(Of has a point of inflection at x=1* 0 12 30 -7 4(D)f changes concavity in the interval (0, 2)5. Find the absolute minimum value of g(x) = 4x +3x - 6x +1 on the closed interval[-2, 1]6. If f"(x) = x(x+1)x – 2), then the graph of f has inflection points when x =? Justifyyour answer. 7. Let g be a twice-differentiable function with g'(x) > 0 and g"(x) > 0 for all realnumbers x, such that g(4) = 12 and g(5) = 18. Of the following, which is a possible valuefor g(6)? Explain how you know.(A) 15(B) 18(C) 21(D) 24(E) 278. The graph of flx) is shown. On the interval (F, G), which of the following is true?fx) < 0III. f"(x) < 0I.II f2) > 0f(x)H(A) I only(B) I and II only(© I and III only(D) I, II, and II9. The graph of f"(x) is shown. For what value(s) of x does the graph of f have a point ofinflection? Justify your answers.10. If f(1) = 3, (1) = 0, and f"(1) = - 3, does f(x) have a relative minimum ormaximum at x =1? ExplainCalculator:11. At what x value(s) does the graph of the function y =x +6x + 7x- 2cosx changeconcavity? Justify your answer.

Name: all parts -- homework help 1. The graph of f, the derivative of f, is
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Description: all parts -- homework help 1. The graph of f, the derivative of f, is shown for – 2sxs5. On what intervals is fincreasing? Justify your answer.Graph of2. The graph of f, the derivative of a function f is shown. At what value(s) of x doesf2) have a po