Determine Whether $f ( x ) = 5 x ^ { 2 } - \frac { x ^ { 4 } } { 5 }$

question 12

Essay

Determine whether $f ( x ) = 5 x ^ { 2 } - \frac { x ^ { 4 } } { 5 }$ is even or odd. If $f$ is even or odd, use symmetry to sketch its graph.

---

Definitions:

Consumption

The process of using goods and services by households or individuals, contributing to overall economic activity.

Disposable Income

The amount of money individuals or households have available for spending and saving after income taxes have been deducted.

Consumption

The use of goods and services by households that leads to a decrease in their availability.

Disposable Income

Available financial merits for households towards spending and saving following income tax subtractions.