Let g(x) = 4x$^3$ - 16x$^2$
Find the relative maximum and minimum values of g. Also find all inflection points of g, the intervals on which the graph of g is concave upward. Enter the values of the endpoint(s) in the appropriate blanks and enter DNE in any unused answer blanks. Finally, sketch the
graph of the function, following the directions above, and bring it to your discussion section the day this assignment is due.
Relative maximum values, with the x-values in increasing order:
Relative minimum values, with the x-values in increasing order:
The graph has inflection point(s) at: (x-values in increasing order)
The graph is concave upward on the following interval(s):
$\circ$ (-$\infty$, a)
$\circ$ (-$\infty$, a)
$\circ$ (-$\infty$, a)
$\circ$ (a, $\infty$)
$\circ$ (a, $\infty$)
$\circ$ (-$\infty$, a) $\cup$ (b, $\infty$)
$\circ$ (-$\infty$, a] $\cup$ [b, $\infty$)
$\circ$ (-$\infty$, a) $\cup$ (b, c)
$\circ$ (a, b) $\cup$ (c, $\infty$)
$\circ$ (a, b)
$\circ$ [a, b]
$\circ$ None of the above.
