Question: 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

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.

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