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.
Accepted Solution
A:
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.