Question

a. Find the open interval(s) on which the function is increasing and decreasing b. Identify the function's local and absolute extreme values, if any, saying where they occur Determine the open interval(s) of x for which g(x) increases. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. o A. The function is increasing on the open interval(s) Type your answer in interval notation. Use a comma to separate answers as needed.) The function is never increasing O B. Determine the open interval(s) of x for which g(x) decreases. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 0 A. The function is decreasing on the open interval(s) Type your answer in interval notation. Use a comma to separate answers as needed.) O B. The function is never decreasing. b. Find each local maximum, if there are any. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. (Type integers or simplified fractions.) 0 A The unction has a local maximum value at two values o x In increasing order of x-value, the maximum values are g =「and g O B. The function has a local maximum value at one value of x. The maximum value is ° C. The function has a local maximum value at three values of x. In i = D=Dg(D-Land g D= ncreasing order ox-value, he maximum values are g There are no local maxima. D. Find each local minimum, if there are any. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice Type integers or simplified fractions.) 0 A. The function has a local minimum value at one value of x. The minimum value is g ( ○ B The unction has a local m inimum value at three values o x. In increasing order o x-value, the minimum values are g - g ° C. The function has a local minimum value at two values of x. In in 0 D. There are no local minima. =□ and g D creasing order of x-value, the minimum values are g ( D-L and g ( If the function has extreme values, which of the extreme values, if any, are absolute? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. (Type integers or simplified fractions. Use a comma to separate answers as needed.) A The fundion has no abosolute maximum, but there s an absolte minimum value ofa O B. The function has an absolute maximum value of □ at □ and an absolute minimum of [at x = O C. The function has an absolute maximum value of at xbut no absolute minimum 0 D. There are local extreme values but there are no absolute extreme values. O E. There are no local or absolute extreme values.

Answer 1

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