SOLUTION: Hi! Could someone help walk me through this problem? "True or false: The graph of the function f(x)= {{{ -2x^2(x-1)(x+3)^3 }}} rises to the left and falls to the right. Briefly ex

Algebra ->  Graphs -> SOLUTION: Hi! Could someone help walk me through this problem? "True or false: The graph of the function f(x)= {{{ -2x^2(x-1)(x+3)^3 }}} rises to the left and falls to the right. Briefly ex      Log On


   

Question 1143102: Hi! Could someone help walk me through this problem?
"True or false: The graph of the function f(x)= +-2x%5E2%28x-1%29%28x%2B3%29%5E3+ rises to the left and falls to the right. Briefly explain your answer."
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
False.

Why? Degree is even, being six, and lead coefficient negative. The way such a polynomial function behaves is that it decreases to the far left and decreases to the far right.