Plotting 3-d function using Evaluate and Table

Question

I want to plot $z(F, x, \lambda)$ where I fix a few values of $F$ and $\lambda$ and see how it varies with $x$. With 2-d functions, I could vary the second parameter easily using a combination of Evaluate and Table. I'm not able to get it to run for a 3-d function: What's going wrong here?

z[F_, x_, \[Lambda]_] := (Exp[\[Lambda] (1 - F)] - 
     1) * (Exp[F*x*\[Lambda]] - 1)/(F*x*\[Lambda]);
Plot[Evaluate[
  Table[z[F, x, \[Lambda]], {{\[Lambda], {0.1, 1}}, {F, {0.5}}}]], {x, 
  0, 2}]

The error is Table::write: Tag List in {\[Lambda],{0.1}} is Protected.

Answer 1

z[F_?NumericQ, x_?NumericQ, \[Lambda]_?NumericQ] :=
(Exp[\[Lambda] (1 - F)] - 1)*(Exp[F*x*\[Lambda]] - 1)/(F*x*\[Lambda]);

Plot[Evaluate[Table[z[F, x, \[Lambda]], {F, {0.5}},
{\[Lambda], {0.1, 1}}]], {x, 0, 2},AxesLabel -> {x, z},
PlotLegends -> "Expressions"]

Answer 2

Try this:

z[F_, x_, \[Lambda]_] := (Exp[\[Lambda] (1 - F)] - 
     1)*(Exp[F*x*\[Lambda]] - 1)/(F*x*\[Lambda]);
Manipulate[
 Plot[z[F, x, \[Lambda]], {x, 0, 2}, 
  PlotRange -> {0, 1.5}], {\[Lambda], 0.1, 1}, {F, 0.1, 0.5}]

Have fun!