1.Thefollowingaretrueaboutcriticalpointsexcept I.Theyindicatepointsthatmakethederivativeofafunctionzero II.Theyindicatepointsthatmakethederivativeofafunctionundefined III.Theyprovideindicationsofmaximumandminimumpoints A.Ionly B.IIandIIIonly C.IandIIIonly D.I,IIandIIIonly E. None oftheabov

The correct answer is E. None of the above.

Explanation: I. Critical points do indicate points that make the derivative of a function zero. This is because at these points, the function changes from increasing to decreasing (or vice versa), which means the slope (or derivative) of the function is zero. II. Critical points also indicate points that make the derivative of a function undefined. This is because these points often represent discontinuities or sharp turns in the function, where the derivative does not exist. III. Critical points do provide indications of maximum and minimum points. This is because these points represent the peaks and valleys of the function, where the function changes from increasing to decreasing (or vice versa).

Therefore, all statements I, II, and III are true about critical points, so the correct answer is E. None of the above.