No need for steps and explanations only the right answers :) thank you

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If a function g(x) is continuous on [a, b] and differentiable on (a, b), which of the following is not necessarily true? O g has a minimum value on [a, b] O g has a maximum value on [a, b] O g(c) = 0 for some c, such that a 0. Of is increasing on (1, 3) and (3, 4) because f'(X) > 0. Of is decreasing on (1, 3) and (3, 4) because f'(X) > 0. Of is decreasing on (1, 3) only because f'(X) > 0.\fx2 -8x Given f'(x) = determine the x-value where a relative maximum exists for f(x). (x - 4)2 Ox=8 Ox= 4 Ox = 2 Ox= 0Use the graph of f' to determine which statement is true regarding the critical points of f. 3 -1 -2 -3 5 -5 -3 -2 2 3 Graph of f' Of(2) is a maximum because f' > 0 for x > 2. Of(-2) is a minimum because f' 0 for x > -2. Of(0) is a relative extrema because f' = 0. O There are no relative extrema for f.Let gm = 3m:2 31:. At what value Inf 1:: on the interval [I], 2] does gr have a pussime absolute maximum? Determine the x-value where a possible global maximum for a function h occurs on the interval -4 s x $ 2 when h(x) = x3 - 4x2. O-2 Oo 04Given g(x) = 0.5x# + 4x, determine the x-value for the absolute minimum of the function g(x) on [-2, 3]. Oo O _3/2 0 3/3 O-2\fWhat is the global minimum of the function f(x)= |x - 2| on [-5, 5]? O-5 Oo O2 03