# Parametric plot gives good graph for x variable range 0 - 10000 but fails to plot for 1 — 10000

Please explain why pF4 provides a good graph while pF4a, pF4b give nothing ...

All I do is change the range of variable x from 0-10000 to 1-10000

pF4 = ParametricPlot[
{Log10[x], (-1 + m^b/(m - n x)^b) /. {b ->
0.5} /. {m -> {1}} /. {n -> -0.03}}, {x, 0, 10000},
AspectRatio -> 0.4, AxesOrigin -> {1, 0}, PlotStyle -> {Pink},
PlotPoints -> 500]

pF4a = ParametricPlot[
{Log10[x], (-1 + m^b/(m - n x)^b) /. {b ->
0.5} /. {m -> {1}} /. {n -> -0.03}}, {x, 0.0, 10000},
AspectRatio -> 0.4, AxesOrigin -> {1, 0}, PlotStyle -> {Pink},
PlotPoints -> 500]

pF4b = ParametricPlot[
{Log10[x], (-1 + m^b/(m - n x)^b) /. {b ->
0.5} /. {m -> {1}} /. {n -> -0.03}}, {x, 1, 10000},
AspectRatio -> 0.4, AxesOrigin -> {1, 0}, PlotStyle -> {Pink},
PlotPoints -> 500]

• Works if you change {m -> {1}} to {m -> 1}; however, I would shorten the replacements to /. {b -> 0.5, m -> 1, n -> -0.03} – Bob Hanlon Nov 18 at 21:44
• So it does. Thank you so much. The infinite mysteries of M. – Hookeslaw Nov 18 at 21:55