Piecewise Function: Finding Constants for Continuity

[lomantak]

Hello,

Here is a piecewise function that I came over, and it does not seem to have a definite answer, and so I beg of your recondite knowledge to guide me on this one:f(x) =
ax^2 + bx + c if -oo < x < 0
d if x = 0
[(x^2)(sin(1/x))]-2 if 0 < x < oo

Find all values of the constants a, b, c and d that make the function f continuous on -oo < x < oo.

I think a, b and c are all reals, and d is -2, but I am not sure...

 

[mathman]

For continuity you need c=d=-2. a and b could be anything.