Well, I'm not a Maple expert, but you could certainly define your function with piecewise like this:
y:=piecewise(x > -0.143 and x < 0.143, -7, -1/abs(x));
which should give you this when "plotted":
I'm in need to remove a singularity in a function in Maple. I've got the function -1/abs(x), that goes to minus infinity for x->0 from both sides. I would like to define y=-7 in the interval x=[-0.143,0.143], enabling me to "chop off" the tip. Anyone knows how this is to be done?