Results 1 to 3 of 3

Math Help - 2 Values of x, where f(x) = 0 (Single-Var Calc)

  1. #1
    Newbie
    Joined
    Feb 2009
    Posts
    3

    2 Values of x, where f(x) = 0 (Single-Var Calc)

    Find 2 values of x that make f(x) = 0.

    f(x) = (x-a)(x-b)(x-c)

    The obvious answers are x = {a, b, c}, but considering this is a calculus class where he usually assigns pretty challenging homework there must be another solution. There are 2 more parts to the question if it will help you understand where hes heading:

    2. Find the average of the two values of x you found above. What point on the graph of f has this x-value?

    3. Find the equation for the tangent line at the point you found above, and find all points where the tangent line intersects the graph y = f(x), where f is defined above.

    I don't want to be given the answers, but I would like some sort of recommendation on how to address the problem.

    Thanks for any help in advance.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by MrWizard View Post
    Find 2 values of x that make f(x) = 0.

    f(x) = (x-a)(x-b)(x-c)

    The obvious answers are x = {a, b, c}, but considering this is a calculus class where he usually assigns pretty challenging homework there must be another solution. There are 2 more parts to the question if it will help you understand where hes heading:

    2. Find the average of the two values of x you found above. What point on the graph of f has this x-value?

    3. Find the equation for the tangent line at the point you found above, and find all points where the tangent line intersects the graph y = f(x), where f is defined above.

    I don't want to be given the answers, but I would like some sort of recommendation on how to address the problem.

    Thanks for any help in advance.
    If I re-assure you that the answer to 1. is that simple, can you proceed?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Feb 2009
    Posts
    3
    I guess so...

    Then 2.
    Part I.

    Average = (a - b) / 2

    Part II.

    Hm... the point where f(x) = (a - b) / 2?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Single values vs set of values in an equation
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: August 21st 2010, 03:45 AM
  2. Single equation, single unknown. How to solve?
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: March 14th 2010, 12:37 PM
  3. Replies: 1
    Last Post: January 13th 2010, 11:57 AM
  4. Replies: 0
    Last Post: October 29th 2008, 08:26 AM
  5. Calc - Extreme Values - Word Problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 18th 2008, 08:23 AM

Search Tags


/mathhelpforum @mathhelpforum