Question

Find the values of a and b that make f continuous everywhere.
(piecewise)

Answer 1

f(x) = {
(x^2-4)/(x-2) if x < 2
ax^2 - bx + 1 if 2 <= x < 3
4x - a + b if x >= 3

Answer 2

you want the first two two be equal for x=2

you want the last two to be equal for x=3