Question

Calculus: Find all the possible real numbers a,b for which the function > x^2+ax+1, if x<2
x^3+1, if x/= 3

is continuous on R.

Answer 1

....hmmm I'm thinking the second piece should be:
x^3 + 1 if 2<= x <3

Answer 2

\[f(x) = \left\{\begin{array}{rcc}
x^2+ax+1 & \text{if} & x<2 \\
x^3+1& \text{if} & 2\leq x<3\\
4x^2+b& \text{if} & x\geq 3\\
\end{array}
\right.
\]
like that?

Answer 3

And the point is that I don't want to have a disconnect like this: