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C3 may2012 preparation.

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Okay, so f(x) = 1 + (2/x+1)

The +1 is a vertical translation, and you already know the shape of the curve 1/x, in that regard, (x+1) is a horizontal translation of -1. And the factor 2, is a stretch.

As for the range, 2/(x+1) will never be zero, so think about where the curve tends to as x tends to positive and negative infinity.
The domain, X belongs to the reals, but can't be equal to -1.

The easiest way to determine these is to look at the graph :)
Is it possible for someone to draw it ? even if its not that accurate..
 
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youssef are u serious? that question is the easiest question in the paper.
Listen whenever u see a question that has ln or e: then u must know immediatly that these values can be equal to 0 when they are minimum.
In this case, as t progress to infinity, in other words as time becomes really large e^-0.05t becomes zero. Try it get ur calculator and put e^-.052(1x10^66) or something,
Since that is zero, then the only part of the equation left is the +25. So the temp can never go below 25. therefore it never reaches 20.
 
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