question 8

Essay

$$\text { Show that the function } f ( x ) = ( x + 2 ) \log \left( x ^ { 2 } + 1 \right) + \log \left( x ^ { 3 } + 1 \right) \text { is } O ( x \log x ) \text {. }$$

---

Definitions:

Parallel Play

A stage of play in young children where they play next to each other without directly interacting, reflecting developing social skills.

Onlooker Play

A form of play in which a child observes others playing but does not join in, often occurring before the stage of parallel play.

Mildred Parten

A researcher known for her work on the social development of children, particularly in terms of play.

Onlooker Play

A form of play where a child watches other children play but does not join in, often used to learn social cues.