which graph shows a polynomial function of an odd degree?
which graph shows a polynomial function of an odd degree?
Answer
Explanation:
Step1: Recall odd - degree polynomial property
Odd - degree polynomial functions have opposite end - behaviors. As (x\to-\infty), (y) goes to either (-\infty) or (\infty), and as (x\to\infty), (y) goes to the opposite direction.
Step2: Analyze the given graphs
In the first graph, as (x\to-\infty), (y\to\infty) and as (x\to\infty), (y\to-\infty), which is characteristic of an odd - degree polynomial.
Answer:
The first graph (the one with the larger view showing the curve going up on the left - hand side and down on the right - hand side)