Let $f ( x ) = x ^ { 4 } - 4 x ^ { 3 }$

question 146

Essay

Let $f ( x ) = x ^ { 4 } - 4 x ^ { 3 }$ .(a) Use your graphing calculator to graph f using the default viewing rectangle.(b) Find the critical points of f and use them to determine an appropriate viewing rectangle (or rectangles) for f. The graph f again using the viewing rectangle.(c) Compare the graphs in parts (a) and (b)

---

Definitions:

Tunicates

Chordates belonging to subphylum Urochordata; sea squirts.

Tadpoles

The aquatic larval stage of amphibians, especially frogs and toads, characterized by gills, a tail, and a later transition to the adult form.

Tunic

In a biological context, a fibrous or cellular covering layer, such as that surrounding certain seeds or the body of sea squirts and other invertebrates.

Adult Tunicates

Marine invertebrates that are members of the subphylum Tunicata; they are sessile as adults and have a sac-like body covered with a tunic.