**Bug introduced in 10.1 or earlier and persisting through 11.0.1 or later**


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When I use the following command to plot a graph:

    Plot[x^Gamma[x - 1], {x, 0, 1}]
or:

    Plot[x^Gamma[x - 1], {x, 0, 1}, PlotRange -> Automatic]

it works fine.

**If I use:**

    Plot[x^Gamma[x - 1], {x, 0, 1}, PlotRange -> Full]
    Plot[x^Gamma[x - 1], {x, 0, 1}, PlotRange -> All]
 
**Edited: 25.05.2016**
 
    Plot[(x^6000 - Sin[x]^6000)/(x^2*Sin[x]^6000), {x, -10, 10}, PlotRange -> All]
    Plot[(x^6000 - Sin[x]^6000)/(x^2*Sin[x]^6000), {x, -10, 10}, PlotRange -> Full]

**it does not show  any Plot(Invisible Plot)!**

I have: `(* MMA 10.2.0 for Microsoft Windows (64-bit) (July 7, 2015)*)`