Question

Consider the leading term of the polynomial function. What is the end behavior of the graph?

4x^5 + 1x


Since n is odd and a is positive, the end behavior is up and down.

Since n is odd and a is positive, the end behavior is down and up.

Since n is odd and a is positive, the end behavior is down and down.

Since n is odd and a is positive, the end behavior is up and up.

Answer 1

Think about the end behavior of x^2 and x^3. Then generalize to even degree and odd degree

Answer 2

so its the last one ? (:

Answer 3

No. What is the end behavior of x^3?

Answer 4

positive ?

Answer 5

Perhaps you misunderstand "end behavior"
What happens as x approaches infinity in x^3? What about as x approaches -infinity?

Answer 6

it becomes negative ?

Answer 7

If you graph the function, as x approaches infinity, y also approaches infinity. As x approaches -infinity, y approaches -infinity. If you graph this, you will see that it is "down and up." All polynomial functions with odd degree share this same behavior

Answer 8

I kinda see. . . . .

Answer 9

Do you see the "down then up"?