An Equation of the Form $y = \left( a x ^ { k } + b \right) ^ { n }$

question 15

Short Answer

An equation of the form $y = \left( a x ^ { k } + b \right) ^ { n }$ can be thought of as the composition of the functions $f ( u ) = u n$ and u(x) $=$ ax ^{k + b} and can be written as $y = u ^ { n }$ where \(u = a x ^k + b. Use this concept to fill in the blanks.

-\[y = \sqrt [ 3 ] { ــــــــــــ } \text { can be written as } y = u ^ { - } \text {where } u ( x ) = 3 x ^ { 4 } + 2 x ^ { 3 } + 13\]

---

Definitions:

Zygomatic

Pertaining to the cheekbone or zygoma, a prominent bone in the face that contributes to the facial structure and forms the prominence of the cheek.

Articulation

The connection and movement between bones, or the articulation of sounds and words in speech.

Maxilla

The upper jawbone in vertebrates, which forms part of the skull and houses the upper teeth.

Temporal Bone

A pair of bones that form parts of the side of the skull and house the structures of the ears.