Results 1 to 6 of 6

Math Help - graphing

  1. #1
    Senior Member
    Joined
    Oct 2008
    Posts
    323

    graphing

    How do I graph
    a)y=2x^2-8x+10

    b)y=3x^2+12x-7 and it's inverse, and state the domain and range of each.

    Please Help.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Rhymes with Orange Chris L T521's Avatar
    Joined
    May 2008
    From
    Chicago, IL
    Posts
    2,844
    Thanks
    3
    Quote Originally Posted by william View Post
    How do I graph
    a)y=2x^2-8x+10

    and it's inverse, and state the domain and range of each.

    Please Help.
    Here's the graph to part (a):



    Can you find the domain and range of the original function (in blue) and the inverse (in cyan)??
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member
    Joined
    Oct 2008
    Posts
    323
    Quote Originally Posted by Chris L T521 View Post
    Here's the graph to part (a):



    Can you find the domain and range of the original function (in blue) and the inverse (in cyan)??
    d: xEr
    r: y>2

    Also, how would I go abouts graphing this by hand?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Rhymes with Orange Chris L T521's Avatar
    Joined
    May 2008
    From
    Chicago, IL
    Posts
    2,844
    Thanks
    3
    Quote Originally Posted by william View Post
    d: xEr
    r: y>2
    Correct. Note that range is actually y\geq 2 Now what is the domain and range of the inverse?

    Also, how would I go abouts graphing this by hand?
    Pick x values (i.e. x=-2,1,0,1,2,3,4) and evaluate the function at these values. Then plot these points and connect them (make sure the curve looks smooth).
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Senior Member
    Joined
    Oct 2008
    Posts
    323
    Quote Originally Posted by Chris L T521 View Post
    Correct. Note that range is actually y\geq 2 Now what is the domain and range of the inverse?
    I'm not too sure. I believe it has the same vertex, so is it the same?



    Pick x values (i.e. x=-2,1,0,1,2,3,4) and evaluate the function at these values. Then plot these points and connect them (make sure the curve looks smooth).
    I believe it has the same vertex, so would it be the same?Thanks. Would this method be appropriate to use for the second questions as well? Also, for the graphing the inverse by hand I would simply switch the x and y values, correct?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Rhymes with Orange Chris L T521's Avatar
    Joined
    May 2008
    From
    Chicago, IL
    Posts
    2,844
    Thanks
    3
    Quote Originally Posted by william View Post
    I believe it has the same vertex, so would it be the same?
    Yes, it seems that they have the same vertex.

    Thanks. Would this method be appropriate to use for the second questions as well?
    Yes.

    Also, for the graphing the inverse by hand I would simply switch the x and y values, correct?
    Yes. This time, look where y=-2,-1,0,1,2,3,4. Then connect the points.

    Take note that the domain and the range switch for the inverse.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. graphing
    Posted in the Algebra Forum
    Replies: 6
    Last Post: May 19th 2011, 05:43 AM
  2. Graphing
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: May 23rd 2009, 05:31 PM
  3. graphing of sin and cos
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: October 28th 2008, 09:50 AM
  4. Graphing
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: January 16th 2008, 11:18 AM
  5. help with graphing
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: December 9th 2007, 09:23 AM

Search Tags


/mathhelpforum @mathhelpforum