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Math Help - piecewise defined function help!

  1. #1
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    Question piecewise defined function help!

    F(x)= x+2 if x<0
    2 if 0≤x≤1
    3-1 if 1<x

    Find the following:
    f(-3)=_____
    f(0)=_____
    f(4)=_____

    can someone explain this problem to me please!
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by rsultana View Post
    F(x)= x+2 if x<0
    2 if 0≤x≤1
    3-1 if 1<x

    Find the following:
    f(-3)=_____
    f(0)=_____
    f(4)=_____

    can someone explain this problem to me please!
    i'll do the first.

    f(-3) means we want the value of the function when x = -3. since this is a piece-wise defined function, i have to look for what formula gives the value of the function at x = -3. clearly, x < 0 is the only interval that covers x = -3, so i look at the formula for that interval, which is x + 2.

    thus, f(-3) = (-3) + 2 = -1

    now do the rest
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  3. #3
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    Quote Originally Posted by Jhevon View Post
    i'll do the first.

    f(-3) means we want the value of the function when x = -3. since this is a piece-wise defined function, i have to look for what formula gives the value of the function at x = -3. clearly, x < 0 is the only interval that covers x = -3, so i look at the formula for that interval, which is x + 2.

    thus, f(-3) = (-3) + 2 = -1

    now do the rest
    so for f(0)=2
    and f(4)=-1
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