Answer:
An even function is symmetric about the y-axis. An odd function is symmetric about the origin. As the graphed function is neither symmetric about the origin, nor symmetric about the y-axis, it is neither even nor odd.
Explanation:
Even and odd functions are special types of functions.
Even function
- f(x) = f(- x) for all values of x.
- Symmetric about the y- axis.
- Example even function: y = x²
Odd function
- f(–x) = –f(x) for any value of x.
- Symmetric about the origin.
- Example odd function: y = x³
An even function is symmetric about the y-axis. An odd function is symmetric about the origin. As the graphed function is neither symmetric about the origin, nor symmetric about the y-axis, it is neither even nor odd.