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Leading Coefficient Test
The graph of the polynomial function eventually rises or falls depends on the leading coefficient and the degree of the polynomial function.
Case End Behavior of graph When is odd and is positive Graph falls to the left and rises to the right When is odd and is negative Graph rises to the left and falls to the right When is even and is positive Graph rises to the left and right When is even and is negative Graph falls to the left and right
Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial function .
Because the degree is odd and the leading coefficient is negative, the graph rises to the left and falls to the right as shown in the figure.