By visual inspection locale all points on the graph at which the ukpe of the tangent line ageals the average rate of cha
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By visual inspection locale all points on the graph at which the ukpe of the tangent line ageals the average rate of cha
Sketch a graph of a function f that is continuous on (-00,00) and has the following properties 1010 and 100<0 on (-on-3), 1'(x) <0 and 1(x)>0 on (-3,00) Choose the correct answer below OA a OB OC T OD. G
Jse the derivative P(x)-(x-4Xx+1Xx+4) to determine the local maxima and minima off and the intervals of increase and decrease. Sketch a possible graph of f (t is not unique) The local maximumimaxima ivare atx= The local minimuaminima h/are atx The interval(s) of increase isare) (Type your answer in interval natation Use a comma to separate answers as needed.) (Use a comma to separate answers as needed.) (Use a comma to separate answers as needed) The interval(s) of decrease isare) (Type your answer in interval notation. Use a comms to separate anwers as needed) Which is a possible graph of OA OB. C Oc OD o
a. Determine whether the Mean Value Theorem applies to the function f(x)= ex on the given interval [0, In 4]. b. If so, find the point(s) that are guaranteed to exist by the Mean Value Theorem, a. Choose the correct answer below. OA. The Mean Value Theorem does not apply because the function is not differentiable on (0, In 4). OB. The Mean Value Theorem applies because the function is continuous on [0, In 4] and differentiable on (0, In 4). OC. The Mean Value Theorem applies because the function is continuous on (0, In 4) and differentiable on [0, In 4]. OD. The Mean Value Theorem does not apply because the function is not continuous on [0, In 4]. b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The point(s) is/are x = (Type an exact answer. Use a comma to separate answers as needed) OB. The Mean Value Theorem does not apply in this case.
Determine the intervals on which the following function is concave up or concave down Identity any inflection points Determine the intervals on which the following functions are concave up or concave down. Select the conect choice below and fill in the answer box(es) to complete your choice. (Simplify your answer Type your answer in interval notation. Use a comma to separato answers as needed.) OA. The function is concave up on and concave down on OB. The function is concave down on OC. The function is concave up on Locate any inflection points of f Select the conect choice below and, if necessary, fill in the answer box to complete your choice OA An inflection point occurs at t (Use a comma to separate answers as needed) OB. There are no inflection points for f
At what points c does the conclusion of the Mean Value Theorem hold for f(x)=x3 on the interval [-21,21]? The conclusion of the Mean Value Theorem holds for c= (Use a comma to separate answers as needed. Type an exact answer, using radicals as needed.) C