Handling vector comparisons in "Piecewise" function

Question

Is it possible for the Piecewise function to process a vector comparison? For example, my input vector is

x={0,1,2,3,4}

I would like to define a function that gives me x^2 if x<3.5, and x+3 otherwise. i.e. I would like my output to be {0,1,4,9,7}. Here I define a function:

myfunc[x_] := Piecewise[{{x^2,x<3.5},{x+3,x>=3.5}}]

which obviously does not work. Is there a way to let Mathematica know that I want to compare x with 3.5 elementwise and apply that particular value to the segment as appropriate?

I'm used to R programming where I can use the ifelse function for this job, but I'm relatively new to Mathematica and don't know if this is possible.

Thanks!

Answer 1

I'm not in front of a computer now, but I think you should be able to set your function to Listable and use it as-is:

SetAttributes[myfunc, Listable]

Answer 2

There is nothing wrong with your function. You can Map it to a list as

 myfunc/@{0,1,2,3,4} 

you get your desired output.

Alternatively, you can use your myfunc to define a new function that accepts lists:

 mynewfunc[y_List] := Map[myfunc, y]

Now

 mynewfunc[{0,1,2,3,4}]

gives

 {0, 1, 4, 9, 7}