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

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.

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.

Answer

Explanation:

Step1: Analyze end - behavior

As (x\to\pm\infty), (y\to+\infty). For polynomial functions, when the end - behavior is that as (x\to\pm\infty), (y\to+\infty) or (y\to-\infty), the degree of the polynomial is even.

Step2: Check function parity

A function (y = f(x)) is even if (f(-x)=f(x)) and odd if (f(-x)=-f(x)). The graph of the function is symmetric about the y - axis. For any (x) value, (f(-x)=f(x)), so the function is even.

Answer:

The degree of the function is even, and the function is even.