SOLUTION: Complete the following: (a) Use the Leading Coefficient Test to determine the graph's end behavior. (b) Find the x-intercepts. State whether the graph crosses the x-axis or tou

Algebra ->  Rational-functions -> SOLUTION: Complete the following: (a) Use the Leading Coefficient Test to determine the graph's end behavior. (b) Find the x-intercepts. State whether the graph crosses the x-axis or tou      Log On


   



Question 954513: Complete the following:
(a) Use the Leading Coefficient Test to determine the graph's end behavior.
(b) Find the x-intercepts. State whether the graph crosses the x-axis or touches the x-axis and turns around at each intercept. Show your work.
(c) Find the y-intercept. Show your work.
f(x) = x2(x + 2)

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
End behavior is decreasing to the left, and increasing to the right. That's qualitative knowledge about polynomial functions.

ZEROS: at 0 and -2. Those are the x-intercepts. This by using your function in its factored form for f(x)=0.

y-intercept: x=0, what is f(0)?