Consider the function

$f(x)=x^4-4x^3$

dist all the critical points $off(x).(If$ there are $no$ critical points, enter NONE.$)$

$x=$

Use interval notation $to$ indicate where $f(x)is$ increasing.

Increasing:

Where $isf(x)$ decreasing?

Decreasing:

List the $x$ values that correspond $to$ the local maxima $off(x).(If$ there are $no$ local maxima, enter

none.$)$

$x$ values $of$ local maximums $=$

Compute the $x$ values that correspond $to$ the local minima $off(x).(If$ there are $no$ local minima,

enter none.$)$

$x$ values $of$ local minimums $=$

$On$ what intervals $isf(x)is$ concave $up?$

Concave $up$:

Where $f(x)is$ concave down?

Concave down:

List the $x$ values $of$ all the inflection points $off.(If$ there are $no$ inflection points, enter none.$)$

$x$ values $of$ inflection points $=$