Answer:
Being
a polynomial function for x < 2 and x > 2, f is continuous.
=
8 ? 3 = 5
=
4 + 1 = 5
Also
f(2) = 23 ? 3 = 8 ? 3 = 5
Since
LHL = RHL = f(2)
Hence
f is continuous and has no point of discontinuity.
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