To determine which equation most likely matches the graph given the end behavior, let's analyze the leading coefficients and degrees of each polynomial:
From the graph, it can be seen that as and as . The ends go in the different direction, which indicates an odd-degree polynomial with a positive leading coefficient.
Analyzing Each Equation
A.
Degree: Odd (5)
Leading Coefficient: Negative (-1)
Conclusion: Does not match (Odd degree, negative leading coefficient).
B.