OK trying again.
For what (numerical) of the constant "c" is the function
f(x)= {x^2-cx if x is greater than -1
{cx^3+x if x is less than or equal to -1
continuous on (- infinity, +infinity)?(Justify answer!)
To make the pieces of the function continous at -1, require that the two functions are equal at x = -1
1 + c = -c -1
2c = -2
c = -1