Which term, when added to the given polynomial, will change the end behavior of the graph?

y = 14x8 – 6x5 – 2x4 – 10

a. –6x9
b. –5x7
c. 5x8
d. 6x10

The
to answer this question, we add p(x) with each given value, and check with the graph the corresponding end behavior of the new graph, 
the attached file gives more explanation about what did change for the addition of each term to the polynomial p(x)

the answer is B. –5x7, proof look at the attached file