The functiony=f(x) is defined below. Assume that a and b are real constants.
f(x )= {x²+52, if x<2
2a-3b, if x=2
2bx-3, if x>2
Find the values of a and b that make f continuous at x=2. (Your answer should involve limits and should be based on the definition of contimuity at a point). When a and b have values other than the ones you found, what type of discontinuity does f have at x=2 ?