Which statement describes how the graph of the given polynomial would change if the term –3x6 is added? y = 2x6 + 9x5 – 7x3 – 1 both ends of the graph will approach negative infinity. the ends of the graph will extend in opposite directions. both ends of the graph will approach positive infinity. the ends of the graph will approach zero. what's the answer?

If we add -3x^6   it will be summed with like term 2x^6 and result will be:
-x^6

because power of x^6 is higher than 9x^5 we can observe first term in polynomial and conclude what will hapend with ends of graph.

because 6 is even that means that both ends will go in same direction
because there is - in front of x^6 ends will go to negative infinity

Answer is Both ends of the graph will approach negative infinity.