Chapter 1.2, Problem 26E

To determine

To check: Whether the function $y=x+x^3$ is even, odd or neither.

Answer to Problem 26E

The function $y=x+x^3$ is odd function.

Explanation of Solution

Given information: The function is $y=x+x^3$.

The function $y=x+x^3$ is the addition of two odd powers of $x$ . So, it satisfies the property of odd function that is $f\left(-x\right)=-f\left(x\right)$.

Therefore, the function $y=x+x^3$ is odd function.