A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
My question states to graph each polynomial function. factor first if the expression is not in factor form.
f(x)=x^2(x+1)(x1)
Not sure where to begin..
anonymous
 5 years ago
My question states to graph each polynomial function. factor first if the expression is not in factor form. f(x)=x^2(x+1)(x1) Not sure where to begin..

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0f(x)=x^2(x+1)(x1) already nicely factorised. So the graph is a curve that will on the xaxis touch x=0, and respectively pass through x=1 and x=1. This is because of the even and odd multiplicities. Since f is a polynomial with degree 4, both f(x) as x > infinity or negative infinity are positive and towards infinity

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok, I see where you got the x=0, 1,1. But I lost on the degree of 4? And if I start my "curve" on 1, go to 0 and curve again on 1? that might not make any sense..

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If you multiply out all those factors you'll see that the leading term has 4 as its exponent. Thus it's a polynomial of degree 4. If you examine the limits as x > +/ infinity you'll see that the function approaches +infinity. So at  infinity the function is positive. It crosses y=0 at x= 1 becoming negative for a while, then at x=1 it crosses y=0 again and becomes positive for all subsequent values of x.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.