find the following for the function f(x)=(x+3)^2(x-1)^2

Question

a.) find the x and y intercept of the polynomial function f.
b.)find the power function that the graph of f ressembles for large values of lxl.
c.)determine the maximum number of turning pointsof the graph of f.
d.) determine the behavior of the graph near each x-intercept.

I don't get this at all, can someone please help me?!?!

Answer 1

You can visit
http://rechneronline.de/function-graphs/
to see the graph.

Change the range to -5 - 25 to scale the graph and make it more useful.

Enter (x+3)^2 * (x-1)^2 for the first graph and (x+1)^4 for the second.

That should enable you to answer all the questions and understand the concepts.