Let $\displaystyle{ f(x) = {1.5x^{2}+2x+5} }$

1. Determine the intervals on which $f$ is concave up and concave down. Enter a list of intervals separated by commas. If there is no such interval, enter “None”. interval
   • $f$ is concave up on:
   • $f$ is concave down on:
2. Based on your answer to part (a), determine the inflection points of $f$.
   Each point should be entered as an ordered pair (that is, in the form $(x, y)$).
   (Separate multiple answers by commas.)
3. Find the critical numbers of $f$ and use the Second Derivative Test, when possible, to determine the relative extrema. List only the $x$-coordinates.
   • Relative maxima at $x=$ (Separate multiple answers by commas.)
   • Relative minima at $x=$ (Separate multiple answers by commas.)