f(x)={4x+5 if x<3
17 if x=3
2^x+4 if x>3
determine if f is continuous at x=3
At x just above 3, f(x) is slightly above 2^3 + 4 = 12
That does not agree with the value of f(x) at x=3 or slightly below, both of which are 17.
Hence it is not continuous at x=3