Find the open intervals on which the function is increasing and those on which it is decreasing b Identify the function 's local extreme values, if any, saying where they occur h ( x ) equals x cubed plus 2 x squaredx 3 2 x 2 Question content area bottom Part 1 a On what open interval ( s ) , if any, is the function increasing Select the correct choice below and, if necessary, fill in the answer box to complete your choice A The function is increasing on the open interval ( s ) enter your response here ( Type your answer in interval notation Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed ) B The function is never increasing Part 2 On what open interval ( s ) , if any, is the function decreasing Select the correct choice below and, if necessary, fill in the answer box to complete your choice A The function is decreasing on the open interval ( s ) enter your response here ( Type your answer in interval notation Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed ) B The function is never decreasing Part 3 b Find each local maxima, if any Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice ( Type integers or simplified fractions ) A The function has a local maximum value at two values of x In increasing order of x value, the maximum values are h left parenthesis nothing right parenthesis equals nothinghenter your response here enter your response here and h left parenthesis nothing right parenthesis equals nothing henter your response here enter your response here B The function has a local maximum value at three values of x In increasing order of x value, the maximum values are h left parenthesis nothing right parenthesis equals nothinghenter your response here enter your response here , h left parenthesis nothing right parenthesis equals nothinghenter your response here enter your response here , and h left parenthesis nothing right parenthesis equals nothing henter your response here enter your response here C The function has a local maximum at one value of x The maximum value is h left parenthesis nothing right parenthesis equals nothing henter your response here enter your response here D There are no local maxima Part 4 Find each local minima, if any Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice ( Type integers or simplified fractions ) A The function has a local minimum at one value of x The minimum value is h left parenthesis nothing right parenthesis equals nothing henter your response here enter your response here B The function has a local minimum value at three values of x In increasing order of x value, the minimum values are h left parenthesis nothing right parenthesis equals nothinghenter your response here enter your response here , h left parenthesis nothing right parenthesis equals nothinghenter your response here enter your response here , and h left parenthesis nothing right parenthesis equals nothing henter your response here enter your response here C The function has a local minimum value at two values of x In increasing order of x value, the minimum values are h left parenthesis nothing right parenthesis equals nothinghenter your response here enter your response here and h left parenthesis nothing right parenthesis equals nothinghenter your response here enter your response here D There are no local minima h ( x ) x SUP 3 2 x SUP 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice input field 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice input field 3 input field 4 input field 5 input field 6 input field 7 input field 8 input field 9 input field 1 0 input field 1 1 input field 1 2 input field 1 3 input field 1 4 ) input field 1 5 input field 1 6 input field 1 7 input field 1 8 input field 1 9 input field 2 0 input field 2 1 input field 2 2 input field 2 3 input field 2 4 input field 2 5 input field 2 6 )

Question

Find the open intervals on which the function is increasing and those on which it is decreasing  b   Identify the function 's local extreme values, if any, saying where they occur  h ( x ) equals   x cubed plus 2 x squaredx 3   2 x 2 Question content area bottom Part 1 a   On what open interval ( s ) , if any, is the function increasing  Select the correct choice below and, if necessary, fill in the answer box to complete your choice  A   The function is increasing on the open interval ( s ) enter your response here  ( Type your answer in interval notation  Use integers or fractions for any numbers in the expression  Use a comma to separate answers as needed  ) B   The function is never increasing  Part 2 On what open interval ( s ) , if any, is the function decreasing  Select the correct choice below and, if necessary, fill in the answer box to complete your choice  A   The function is decreasing on the open interval ( s ) enter your response here  ( Type your answer in interval notation  Use integers or fractions for any numbers in the expression  Use a comma to separate answers as needed  ) B   The function is never decreasing  Part 3 b   Find each local maxima, if any  Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice  ( Type integers or simplified fractions  ) A   The function has a local maximum value at two values of x   In increasing order of x   value, the maximum values are h left parenthesis nothing right parenthesis equals nothinghenter your response here   enter your response here and h left parenthesis nothing right parenthesis equals nothing   henter your response here   enter your response here  B   The function has a local maximum value at three values of x   In increasing order of x   value, the maximum values are h left parenthesis nothing right parenthesis equals nothinghenter your response here   enter your response here , h left parenthesis nothing right parenthesis equals nothinghenter your response here   enter your response here , and h left parenthesis nothing right parenthesis equals nothing   henter your response here   enter your response here  C   The function has a local maximum at one value of x   The maximum value is h left parenthesis nothing right parenthesis equals nothing   henter your response here   enter your response here  D   There are no local maxima  Part 4 Find each local minima, if any  Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice  ( Type integers or simplified fractions  ) A   The function has a local minimum at one value of x   The minimum value is h left parenthesis nothing right parenthesis equals nothing   henter your response here   enter your response here  B   The function has a local minimum value at three values of x   In increasing order of x   value, the minimum values are h left parenthesis nothing right parenthesis equals nothinghenter your response here   enter your response here , h left parenthesis nothing right parenthesis equals nothinghenter your response here   enter your response here , and h left parenthesis nothing right parenthesis equals nothing   henter your response here   enter your response here  C   The function has a local minimum value at two values of x   In increasing order of x   value, the minimum values are h left parenthesis nothing right parenthesis equals nothinghenter your response here   enter your response here and h left parenthesis nothing right parenthesis equals nothinghenter your response here   enter your response here  D   There are no local minima  h ( x ) x SUP   3     2 x SUP   2   Select the correct choice below and, if necessary, fill in the answer box to complete your choice input field 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice input field 3 input field 4 input field 5 input field 6 input field 7 input field 8 input field 9 input field 1 0 input field 1 1 input field 1 2 input field 1 3 input field 1 4 ) input field 1 5 input field 1 6 input field 1 7 input field 1 8 input field 1 9 input field 2 0 input field 2 1 input field 2 2 input field 2 3 input field 2 4 input field 2 5 input field 2 6 )

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Find the open intervals on which the function is increasing and those on which it is decreasing. b . Identify the function's local extreme values,

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