# Plot the independent variable x, as a function of fixed value of x

How can I plot a function to output a graph, that is defined on the x-axis by various instances of a fixed constant value x, where x is not a machine defined number?

For example,

Plot[2 + x b, {x, b/2, 2 b}]


is expected to plot a graph for various values of x, with x = b / 2 as min, and x = 2 b as max values respectively.

• The desired plot consists of the x-axis, is not defined as an array of numbers, rather as a function of b. Where, x, takes different iterations of b, from a min value of b/2 to 2b.
– Raz
Jan 4 '18 at 13:54

Plot[Evaluate[Table[Callout[ConditionalExpression[2 + x b, b/2 <= x <= 2 b], b],
{b, 0, 1, .1}]], {x, 0, 2}]


Or with PlotLabels:

Plot[Evaluate[Table[ConditionalExpression[2 + x b, b/2 <= x <= 2 b], {b, .2, 1, .2}]],
{x, 0, 2}, PlotLabels -> Range[.2, 1, .2]]


You can plot them individually and combine by Show.

Show[Table[Plot[2 + x b, {x, b/2, 2 b}, PlotLabels -> b], {b, 1, 2, 0.1}],
PlotRange -> All]


If you want a function which would give you the plot

plot[b_] := Plot[2 + x b, {x, b/2, 2 b}, PlotLabels -> b]

plot[2.3]


• The desired plot consists of the x-axis, is not defined as an array of numbers, rather as a function of b. Where, x, takes different iterations of b, from a min value of b/2 to 2b.
– Raz
Jan 4 '18 at 13:55
• Check my new answer. Is it what you are looking for? Jan 4 '18 at 16:49

If b is a varying parameter

Show[Table[Plot[2 + x.b, {x, b/2, 2 b}],{b,{bi,...}}]]