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. answer f(x) has an even degree, but is not an even function f(x) has an even degree and is an even function f(x) has an odd degree, but is not an odd function f(x) has an odd degree and is an odd function

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 f(x) has an even degree, but is not an even function f(x) has an even degree and is an even function f(x) has an odd degree, but is not an odd function f(x) has an odd degree and is an odd function

Answer

Explanation:

Step1: Analyze end - behavior

As (x\to+\infty), (y\to-\infty) and as (x\to-\infty), (y\to+\infty). For a polynomial function (y = f(x)=a_nx^n+\cdots+a_0), when the degree (n) is odd, the end - behaviors are opposite. So the degree of (f(x)) is odd.

Step2: Check for odd - function property

A function (y = f(x)) is odd if (f(-x)=-f(x)), which means the graph is symmetric about the origin. The given graph is not symmetric about the origin. So (f(x)) is not an odd function.

Answer:

(f(x)) has an odd degree, but is not an odd function.