Results 1 to 4 of 4

Math Help - Function Domain, Range etc.

  1. #1
    Newbie
    Joined
    Jul 2009
    Posts
    20

    Function Domain, Range etc.

    For this function:


    I need to know how to get the:

    - Domain
    - Range
    - X-Intercept(s)
    - Y-Intercept(s)
    - Vertical Asymptote(s)
    - Positive Intervals
    - Negative Intervals
    - Intervals of Increase
    - Intervals of Decrease
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426
    what have you attempted?

    have you graphed the function?

    are you saying you can't find anything on that list?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jul 2009
    Posts
    20
    Yes, I have graphed the function, and can find the domain and range with the graph. I want to know how to find everything without graphing it, and by doing it with just the equation.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor Amer's Avatar
    Joined
    May 2009
    From
    Jordan
    Posts
    1,093
    Quote Originally Posted by Coolman View Post
    For this function:


    I need to know how to get the:

    - Domain
    - Range
    - X-Intercept(s)
    - Y-Intercept(s)
    - Vertical Asymptote(s)
    - Positive Intervals
    - Negative Intervals
    - Intervals of Increase
    - Intervals of Decrease
    for the domain and the range

    http://www.mathhelpforum.com/math-help/pre-algebra-algebra/92992-domain-range.html

    x-intercept find the point where f(x) equal zero
    y-intercept find f(0)

    Positive intervals and negative intervals I will present an example

    f(x)=\frac{(-x^2+5x-6)(x-4)}{(1-x)(3x-2)}=\frac{(x-2)(3-x)(x-4)}{(1-x)3(x-\frac{2}{3})} first find criticals points where the function equal zero and the zero of the denominator you have 2,3,4,1,\frac{2}{3} take the points and study each term then multiply them like this
    Function Domain, Range etc.-function.jpg

    intervals of increasing and decreasing

    derive the function then find the positive interval of the derivative this equal to increasing interval in the function f and find the interval when the derivative is negative this is the decreasing intervals

    Vertical Asymptotes take the zero of the nominator (root) in my question x=1 and x=2/3 is the Vertical Asymptotes

    x-intercept for my question
    f(x)=\frac{(x-2)(3-x)(x-4)}{(1-x)3(x-\frac{2}{3})}

    \frac{(x-2)(3-x)(x-4)}{(1-x)3(x-\frac{2}{3})}=0 this function equal zero when x=2,3,4 so the points (2,0),(3,0)(4,0) is the x-intercept

    y-intercept find f(0)
    f(0)=\frac{(0-2)(3-0)(0-4)}{(1-0)3(0-\frac{2}{3})}=\frac{(-2)(3)(-4)}{(-2)}=-12 so (0,-12) y-intercept
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Domain and range of this function?
    Posted in the Calculus Forum
    Replies: 10
    Last Post: September 3rd 2011, 01:20 PM
  2. Domain and Range of Function: f(x)=1/x^2-9
    Posted in the Pre-Calculus Forum
    Replies: 7
    Last Post: March 30th 2010, 02:11 AM
  3. What is the domain and range of this function?
    Posted in the Calculus Forum
    Replies: 3
    Last Post: May 22nd 2009, 12:13 PM
  4. What is the domain & range of function?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 5th 2008, 09:10 AM
  5. domain and range of function
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: March 4th 2008, 06:41 PM

Search Tags


/mathhelpforum @mathhelpforum