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Math Help - Finding range of piecewise function

  1. #1
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    Finding range of piecewise function

    The function is (1)/((3^(x^2+1)) for x is greater than or equal to zero and

    5x + 3 for x is less than 0.

    I understand the range of 5x + 3 under these circumstances is y
    is less than or equal to 3 (and this is also the range for the entire piecewise function). I don't understand how to find the range of the first part of the piecewise function with teh fractional exponent. My book doesn't explain it well.
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    Re: Finding range of piecewise function

    Quote Originally Posted by benny92000 View Post
    The function is (1)/((3^(x^2+1)) for x is greater than or equal to zero and

    5x + 3 for x is less than 0.

    I understand the range of 5x + 3 under these circumstances is y
    is less than or equal to 3 (and this is also the range for the entire piecewise function). I don't understand how to find the range of the first part of the piecewise function with teh fractional exponent. My book doesn't explain it well.
    note f(0) = \frac{1}{3}

    what happens to \frac{1}{3^{x^2+1}} for x > 0 ?
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    Re: Finding range of piecewise function

    1/3>y>0
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    Re: Finding range of piecewise function

    Quote Originally Posted by benny92000 View Post
    1/3>y>0
    ok ... so, what's the range of f(x)?
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