Let f be the function defined as f(x)={(3-x,x =1):} where a and b are constants. (a) If

Let f be the function defined as f(x)={(3-x,x<1),(ax^(2)+bx,x>=1):} where a and b are constants. (a) If the function is continuous for all x, what is the relationship between a and b ? (b) Find the unique values for a and b that will make f both continuous and differentiable.