Which statement describes how the graph of the given polynomial would change if the term –3x6 is added?

y = 2x6 + 9x5 – 7x3 – 1

A.Both ends of the graph will approach negative infinity.
B.The ends of the graph will extend in opposite directions.
C.Both ends of the graph will approach positive infinity.
D.The ends of the graph will approach zero.

Question

Which statement describes how the graph of the given polynomial would change if the term –3x6 is added?

y = 2x6 + 9x5 – 7x3 – 1

A.Both ends of the graph will approach negative infinity.
B.The ends of the graph will extend in opposite directions.
C.Both ends of the graph will approach positive infinity.
D.The ends of the graph will approach zero.

anonymous · Answer

C because this is an even function as you see that the highest exponent is even. to help you visualize take a really big number to the 6th and you see its a really big number. then take a really negative number(i.e -300000) to the 6th and you can see that is also is a very big positive numebr

anonymous · Answer

Peach, you're amazing, thank you so much. I really appreciate the help.

anonymous · Answer

That's what I'm here for =D