Determine Algebraically Whether the Function Is Even, Odd, or Neither $f ( x ) = 5 x ^ { 3 }$

question 229

Multiple Choice

Determine algebraically whether the function is even, odd, or neither.
- $f ( x ) = 5 x ^ { 3 }$

• A) even
• B) odd
• C) neither

---

Definitions:

Division

A mathematical operation symbolized by ÷ or /, indicating the splitting of a quantity into equal parts or the process of finding how many times one number is contained into another.

Simplify

The process of altering an expression or equation to make it easier to work with, often by combining like terms or using mathematical properties.

Synthetic Division

A streamlined method for dividing polynomials, focusing on the coefficients and omits variables and exponents for efficiency.

Polynomial

An algebraic expression consisting of variables and coefficients, combined using only addition, subtraction, multiplication, and non-negative integer exponents.