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Math Help - Sketching of graphs with modulus functions

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    Member maybeline9216's Avatar
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    Question Sketching of graphs with modulus functions

    (a) Sketch the graph of y= - l3x-6l for -1≤x≤5

    (b) Using the values of x found in part(a), find the range of values of x for which y<-2

    Can u roughly tell me wad to do?? Like sketch the graph of wad first and so on...
    Last edited by maybeline9216; October 7th 2008 at 07:54 PM. Reason: wrong alphabet
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    Quote Originally Posted by maybeline9216 View Post
    (a) Sketch the graph of y= - l3x-6l for -1≤x≤5

    (b) Using the values of x found in part(a), find the range of values of x for which y<-2

    Can u roughly tell me wad to do?? Like sketch the graph of wad first and so on...
    What does a mod do?

    It turns anything negative into a positive (it's an optimist :P).

    So draw the graph of y = 3x - 6 over the domain.

    Then reflect anything that's below the x-axis about the x-axis (in other words, make everything that's negative into a positive.)

    Then you've got the graph of y = |3x - 6|.

    Finally, you have to take the negative of this, so reflect the entire graph about the x-axis again.

    Then you've got the graph of y = -|3x - 6|.


    From your graph you should be able to tell for which values of x you have a y value less than -2.
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