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Math Help - More Functions Help?

  1. #1
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    More Functions Help?

    Thanks everyone from the last thread, but got some more problems with some functions questions.
    Given f(x)=
    {2 if x< -1
    {-2x if -1 |<x<o
    {x^2 if x>| 0

    Find:
    (i) f(0)
    (ii) f(a^2)

    Sketch the function.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Dannblood View Post
    Thanks everyone from the last thread, but got some more problems with some functions questions.
    Given f(x)=
    {2 if x< -1
    {-2x if -1 |<x<o
    {x^2 if x>| 0

    Find:
    (i) f(0)
    (ii) f(a^2)

    Sketch the function.
    Lets assume your function is:

    Given f(x) = {2 if x< -1
    ................ {-2x if -1 <= x <0
    ................ {x^2 if x >= 0

    (i) 0 is the lower end point of the third part of this function definition, so:

    f(0) = 0^2 = 0.

    (ii) Since a^2 is always greater than or equal to zero, f(a^2) always uses
    the third part of the function definition, so:

    f(a^2) = (a^2)^2 = a^4.

    RonL
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  3. #3
    MHF Contributor red_dog's Avatar
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    Here is the sketch.
    Attached Thumbnails Attached Thumbnails More Functions Help?-graph1.jpg  
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