Which statement describes how the graph of the given polynomial would change if the term negative 3 x to the 6th power is added? y is equal to 2 x to the 6th power plus 9 x to the 5th power minus 7 x cubed minus 1

Adding −3x⁶ changes the x⁶ coefficient from 2 to 2 − 3 = −1. The resulting polynomial still has even degree 6, and its leading coefficient is negative. Therefore, as x becomes very large or very negative, both ends of the graph approach negative infinity. The correct choice is “Both ends of the graph will approach negative infinity.”

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