Note: For any questions that asks you to enter all values, enter a list separated by commas. If there are no such values, enter “None”.
Consider the function
  1. Determine the intervals on which is concave up and concave down.interval
    • is concave up on:
    • is concave down on:
  2. Based on your answer to part a, determine the inflection points of .
    Each point should be entered as an ordered pair (that is, in the form ).
    The inflection points are
  3. Find the critical numbers of and use the Second Derivative Test, when possible, to determine the relative extrema. List only the -coordinates.
    • Relative maxima at
    • Relative minima at
  4. Find the -value(s) where has a relative maximum or minimum.
    • has relative maxima at
    • has relative minima at:

You can earn partial credit on this problem.