Question

How do you determine if `f(x)= 1 - X^(1/3)` is an even or odd function?

Answer 1

odd function

Explanation:

FIRST YOU NEED TO KNOW :
1.EVEN FUNCTION `f(x)=f(-x)` these type of function symmetry to y-axis
2.ODD FUNCTION `f(x)=-f(-x)`these type of function symmetry to `O(0,0)`

`f(-x)=1-(-x)^(1/3)`
`f(x)=1-x^(1/3)`

because

`f(x)!=f(-x)`

so it is odd function