Use a Graphing Device to Draw the Graph of the Function

question 18

Essay

Use a graphing device to draw the graph of the function $f ( x ) = x ^ { 5 } - 6 x ^ { 4 } + 11 x ^ { 3 } - 6 x ^ { 2 }$ . State approximately the intervals on which the function is increasing and on which the function is decreasing.

---

Definitions:

Better-Than-Average Effect

A cognitive bias where individuals overestimate their own qualities and abilities relative to others.

Unrealistically Optimistic

The tendency to hold an overly positive outlook on one's abilities or future outcomes, beyond what is statistically likely or rational.

Self-Serving Bias

Self-serving bias is a cognitive bias that leads individuals to attribute their successes to internal characteristics and failures to external factors.

Downward Comparison

The act of comparing oneself to others who are worse off in order to feel better about one's own situation.