A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

I need someone to help me (in very simple terms ;)) how to: Graph each polynomial function. Factor first if the expression is not in factored form.. f(x)=x^2(x+1)(x-1)

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    to graph polynomial function , firstly i will find the point which intersect x-axis. the point that intersect x-axis has y=0 to find that, 0=x^2 (x+1)(x-1) the values of x which fulfill the equation are x=0, x=-1, x=1 secondy, find the extreme point. use the derivative of the function \[f \prime x =4x ^{3}-2x ^{}=0\] so x=-1/2 and 1/2 then plug those value of x to the function to get the extreme value of y you'll get y = 1/16 so you'll have some points : (0,0) , (-1,0) , (1,0) (-1/2, 1/16), (1/2, 1/16) finally just connect that points so now you have the graph

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    sorry, the value of y extreme is not 1/16 . it's -1/16

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so the extreme points is (-1/2, -1/16) and (1/2, -1/16)

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    here, i attach the graph of the function

    1 Attachment
  5. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you so much!!!!!!!!!! Great, great explanation!

  6. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you're welcome :)

  7. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.