3. 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. g(t)= 3t2 5t+5 a. Find the open intervals on which the function is increasing. Select the correct choice below and ll in any answer boxes within your choice. '33' A- The function is increasing on the open interva|(s) (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) i:_i B. The function is never increasing. Find the open intervals on which the function is decreasing. Select the correct choice below and fill in any answer boxes within your choice. '3' A- The function is decreasing on the open interval(s) (Use interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) if? B. The function is never decreasing. b. Find each local maximum, if there are any. (Type integers or simplified fractions.) '1\":3' A- The function has a local maximum value at one value oft. The maximum value is g( ) = B- The function has a local maximum value at two values oft. ln increasing order of tvalue. the maximum values are g( ) = and g( ) = "'3' C. The function has a local maximum value at three values oft. ln increasing order of tvalue, the maximum values are g( ) = , g( ) = , and g( ) = "-21- D. There are no local maxima. Find each local minimum, if there are any. (Type integers or simplified fractions.) A- The function has a local minimum value at two values oft. ln increasing order of tvalue, the minimum values are g( ) = and g( ) = B- The function has a local minimum value at three values of t. In increasing order of tvalue, the minimum values are g( J = , g( ) = , and g( ) = 37' C. The function has a local minimum value at one value of t. The minimum value is g( ) = 3::- D. There are no local minima. If the function has extreme values, which of the extreme values, if any. are absolute? (Type integers or simplified fractions. Use a comma to separate answers as needed.) A- The function has an absolute maximum value of at t= and an absolute minimum of at t= 3-:3' 3- The function has no absolute maximum, but there is an absolute minimum value of at t= C. The function has an absolute maximum value of at t= , but no absolute minimum. "'23- D. There are no absolute extreme values. E. There are no extreme values