1

*I'm new to this, casually executing basic lines of code online in Wolfram Lab; and I have a question I couldn't figure myself.*

Example; I have a recursive function and its initial value

```
f[x_]:=Log[Abs[f[x-1]]]
f[0] = 2
```

I can draw the connecting plot for the initial value:

```
ListPlot[Table[f[t], {t, 0, 100}], Joined -> True]
```

I would like to know how can I manipulate `f[0]=k`

and redraw the plot as I move the slider:

```
Manipulate[f[0]=k, {k, 0, 10, 1}]
```

Can you then nest multiple plots of this same kind on the same graph in colors, each having their own $k_1,k_2,k_3\dots$ sliders?

1

`Manipulate[f[x_] := Log[Abs[f[x - 1]]]; f[0] = k; ListPlot[Table[f[t], {t, 0, 100}], Joined -> True], {k , 0, 2}]`

? – kglr – 2017-06-29T20:32:19.413@kglr That seems to work for a moment but ends up collapsing; Instead of a graph I see a red rectangle in the white area under the slider. – Vepir – 2017-06-29T20:42:36.677