Question

Which statement correctly describes the end behavior of y = x (x - 2)3 (x -4) (x-1)

A)
The graph rises to the left and falls to the right.

B)
The graph falls to the left and rises to the right.
C)
The graph rises to the left and rises to the right.
D)
The graph falls to the left and falls to the right.

Answer 1

@juan_ which do you believe is correct?

Answer 2

I dont know... :(

Answer 3

y = x (x - 2)^3 (x -4) (x-1)

Basically, we know there are six factors:
x(x - 2)(x - 2)(x - 2)(x - 4)(x - 1)

It will be a six degree polynomial.
It will be positive and the leading term will be even.

So what do you think this means in terms of the end behavior?

Answer 4

@Hero i don't know.... i understand nothing