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From the documentation:

Manipulate[Plot[f[x], {x, 0, 2 Pi}], {f, {Sin, Cos, Tan, Cot}}]

How do I include a function like $1/x$ or $x^2$, etc. in that list?

I (unsuccessfully) tried 1/# and #^2.

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Maybe #^2 & -> x^2, 1/# & -> 1/x, as you also might want the labels for the pure functions? – Pinguin Dirk Feb 1 '13 at 16:12
@PinguinDirk: ugh, I had forgotten my closing &. Thanks. If you post as an answer, I can accept. – JohnD Feb 1 '13 at 16:18
up vote 7 down vote accepted

As discussed in comments, here's a possible approach:

Plot[f[x], {x, 0, 2 Pi}], {f, {Sin, Cos, Tan, Cot, #^2 & -> x^2, 
1/# & -> "1/x"}, ControlType -> SetterBar}]

Which results in:

enter image description here

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This works.

Manipulate[Plot[f[x],{x,0,2 Pi}],{f,{Sin[#]^2 &,#^2&,Cos,Tan,Cot}}]


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