Mathematica source code

\!\(\(y = 4.4;\)\[IndentingNewLine] \(p[v_, \ w_] := \ Show[\[IndentingNewLine]{\[IndentingNewLine]Graphics\[IndentingNewLine][\ \[IndentingNewLine]{\[IndentingNewLine]RGBColor[ .81, .81, .81], \ \[IndentingNewLine]Rectangle[{v, 0}, {w, 8}], \[IndentingNewLine]Thickness[ \ .001], \[IndentingNewLine]Black, \[IndentingNewLine]Line[{{v, 0}, {v, 8}}], \[IndentingNewLine]Line[{{w, 0}, {w, 8}}], \[IndentingNewLine]Thickness[ 0.002], \[IndentingNewLine]Line[{{\(- .5\), y}, {v + .5, \ y}}], \[IndentingNewLine]Line[{{\(- .5\), 2^v}, {v + .5, \ 2^v}}], \[IndentingNewLine]Line[{{\(- .5\), 2^w}, {Min[w + .5, 3], \ 2^w}}], \[IndentingNewLine]Thickness[ 0.002], \[IndentingNewLine]Line[{{\((v + w)\)/2, 0}, {\((v + w)\)/2, 8}}], \[IndentingNewLine]Text[StyleForm["\<v\>", \ FontSize -> 14, FontWeight -> "\<Bold\>"], {v - .15, 2}], \[IndentingNewLine]Text[StyleForm["\<w\>", FontSize -> 14, FontWeight -> "\<Bold\>"], {w + .15, 2}]\[IndentingNewLine]}, \[IndentingNewLine]Axes -> \ True, \[IndentingNewLine]Ticks -> {\[IndentingNewLine]{\(-3\), \(-2\), \(-1\), 0, 1, 2, 3, {v, "\<v\>"}, {w, "\<w\>"}, {\(( v + w)\)/2, "\<u\>"}}, {0, \ 2, \ 4, \ 6, \ 8, \ {2^v, \ \*"\"\<\!\(2\^v\)\>\""}, {2^w, \*"\"\<\!\(2\^w\)\>\""}, {2^\((\((v + w)\)/ 2)\), \*"\"\<\!\(2\^u\)\>\""}, {y, "\<y\>"}}\ \[IndentingNewLine]}\[IndentingNewLine]], \[IndentingNewLine]Plot[2^x, {x, \ \(-1\), 3}, \ PlotStyle -> \[IndentingNewLine]{RGBColor[188/255, 30/255, 71/ 255], \ Thickness[ .01]}, \[IndentingNewLine]Axes \ -> True]\[IndentingNewLine]}\[IndentingNewLine]];\)\[IndentingNewLine] \(p[1/2, 2.5];\)\[IndentingNewLine] \(p[1.5, 2.5];\)\[IndentingNewLine] \(p[2, 2.5];\)\[IndentingNewLine] \(p[2, 2.25];\)\[IndentingNewLine] \(p[2.125, 2.25];\)\[IndentingNewLine] \(p[2.125, 2 + 3/16];\)\[IndentingNewLine] \(p[2 + 2/16, 2 + 3/16];\)\[IndentingNewLine] \(p[2 + 4/32, 2 + 5/32];\)\)

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