# What causes strange line artifacts to appear in plots with certain PlotRanges?

I have seen this strange plotting artifact occur before and I was able to make it go away by changing the PlotRange. However, this time I need the prescribed PlotRange to be what I define and I get a strange vertical line within my plot.

The questions are, "What causes this?" and "How do I prevent it from happening?" This is happening for me in Version 9.0 on Mac and Windows.

Here is the code:

ur[x_, a_] := 1 - (1/a) Log[1 + a x]
g[x_, go_, s_, m_] := 1/2 (go x Exp[-(x/s)])/(1 + m x)
uh[x_, a_, go_, s_, m_, k_] := ur[x, a] + g[x, go, s, m]/(1 - g[x, go, s, m]) (k - 1)

a = 5; go = 1; s = 2; m = 0.5;

plt[k_] := ParametricPlot[{ uh[x, a, go, s, m, k], x}, {x, 0, 1},
AspectRatio -> 1/1.5, Frame -> True, PlotStyle -> {Darker[Green]},
FrameLabel -> {Style["Volume Compression", 14],
Style["Normalized Pressure", 14]},
LabelStyle -> {FontSize -> 12, FontFamily -> "Times"}]

Show[Table[plt[k], {k, 1.0, 3.5, 0.5}], PlotRange -> {{0.5, 1.5}, {0, 1.2}}]


The resulting graphic is produced with the line artifact at x=0.65. Not certain as to why this happens. If I tweak the PlotRange to PlotRange -> {{0.6, 1.4}, {0, 1.2}} the line goes away. However, I need the PlotRange to be PlotRange -> {{0.5, 1.5}, {0, 1.2}}. If I move the PlotRange into the ParametricPlot function I get the same result. Thanks in advance for any assistance...

That is the y-axis. Frame -> True does not always turn off the Axes when it is supposed to. Looking at the Options passed to Graphics shows this clearly

FilterRules[
Options@Show[Table[plt[k], {k, 1.0, 3.5, 0.5}], PlotRange -> {{0.5, 1.5}, {0, 1.2}}],
{Axes, AxesOrigin}]
(* {Axes -> True, AxesOrigin -> {0.65, 0}} *)


and AxesOrigin explains why you see the artifact at x = 0.65.

To fix that add Axes -> False to plt. Then, it disappears: • , AxesOrigin -> {0, 0} is also ok – HyperGroups May 8 '13 at 16:38
• Or turn the Frame off Frame->False – bill s May 8 '13 at 16:39
• That was the issue! Never would have guessed that one, Thank you! – Joseph May 8 '13 at 16:41
• @HyperGroups in this case, yes. But, turning off the Axes entirely is superior as you do not have to manually set the origin off screen. – rcollyer May 8 '13 at 16:42
• @bills works, except if you want the Frame. – rcollyer May 8 '13 at 16:42