Question

the function $f(x)$ is graphed below. determine whether the degree of the function is even or odd and whether the function itself is even or odd.

Explanation:

1. Degree parity: The ends of the graph both point upward (same direction), which indicates the polynomial has an even degree.
2. Function parity: An even function is symmetric about the y-axis, meaning $f(-x)=f(x)$ for all $x$. This graph is not symmetric across the y-axis, so the function is not even. An odd function is symmetric about the origin, meaning $f(-x)=-f(x)$ for all $x$, which also does not describe this graph. Thus, the function is neither even nor odd.

Answer:

• The degree of the function is even.
• The function itself is neither even nor odd.