Answer Happy

Suppose that has a povedate for all values of and that which of the following statements must be true of the function 900 = 7 Give mason for your own

(a) is a differentiale function of False, since is not continuous, and is not differentiable by part 1 of the fundamental theorem or calculus True, since is continuous, and in differentiable by part 1 of the fundamental theorem of calculus (b) is a continuous function of O Truegis continuous because it is differentiable Fate is not continuous because it is not differentiable (c) The graph of g has a horizontal tangent atx=1 False, since (10) True, since g(1) = f(1) = 0. (d) g has a local macmum at 1 False, since g(1=f(1)>0 True since 1=1170

(e) g has a local minimum at x=1 O A True, since g' (1)=0 and 9' (1)=P(1)-0 B. False, since g(1)#0 and 9' (1) '* (1) 0. The graph of g has an indlection point atx=1 True, g''x)=f(x)0, sog' changes sign False, ') = f'x) > 0, sog' never changes sign dg (9) The graph of dx crosses the x-axis atx=1 N True, since g' (1)=f(1) = 0 and g(x) = f(x) is an increasing function ofx (because f(x) > 0). False since (1)#0 and gtx=f(x) is a decreasing function of x (because f(x) <0).

Suppose that this povedor no Which of the wings but the function 00- Jim Bor you