Find the Interval(s) Where F Is Increasing and Concave Down $f ( x ) = \frac { 1 } { 4 } x ^ { 4 } - x ^ { 3 } + x ^ { 2 }$

Short Answer

Find the interval(s) where f is increasing and concave down for $f ( x ) = \frac { 1 } { 4 } x ^ { 4 } - x ^ { 3 } + x ^ { 2 }$ Enter your answer in standard interval notation as either: (a, b) or (a, b)∪(c, d) where a< c with any irrational numbers in lowest terms of form: e ± $\frac { \sqrt { f } } { g }$