Question

Which statement correctly describes the end behavior of y = 5(x - 2)3 (x -4)3 (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

Lim x→-Infinite y=5(-Infinite-2)^3*(-Infinite-4)^3*(-Infinite-1)
Lim x→-Infinite y=5(-Infinite)^3*(-Infinite)^3*(-Infinite)
Lim x→-Infinite y=5(-Infinite)*(-Infinite)*(-Infinite)
Lim x→-Infinite y=-Infinite
Then end behaviour to the left is that the graph falls

Lim x→Infinite y=5(Infinite-2)^3*(Infinite-4)^3*(Infinite-1)
Lim x→Infinite y=5(Infinite)^3*(Infinite)^3*(Infinite)
Lim x→Infinite y=5(Infinite)*(Infinite)*(Infinite)
Lim x→Infinite y=Infinite
Then end behaviour to the right is that the graph rises

Answer: Option B) The graph falls to the left and rises to the right.