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Thread: Having a pdf V and then defining a new one as W=V+1 & range of values

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    Question Having a pdf V and then defining a new one as W=V+1 & range of values




    The question goes as follows, there's a function V that equals 0.5 for -1<v<=1 and 0 otherwise. From this we define a new function W that is defined as V+1 (also Z=3V+2). What will be W's range of values?

    Intuitively I want to go the normal graph transformations route and simply add 1 to both values, but I at the same time feels this is not the right way to go about it?

    Any and all help much appreciated! Very very lost undergrad checking in.

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    Re: Having a pdf V and then defining a new one as W=V+1 & range of values


    simply add 1 to both values
    -1 < V \leq 1 \iff 0 < V + 1 \leq 2

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