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TopSpin
Lv 5
TopSpin asked in Science & MathematicsMathematics Β· 1 decade ago

What is the range of the function f(x,y) = ln(x+y-1)?

I thought it was [0,infinity) but my TA thinks it's (-infinity,infinity).

1 Answer

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  • Ron W
    Lv 7
    1 decade ago

    Your TA is correct. The natural log of a number between 0 and 1 is negative, and if the argument of the log be made arbitrarily close to 0 (but positive), the log is arbitrarily large in magnitude and negative.

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