OK trying again.

Question

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!)

Answer 1

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