Answer:
For
x < 0, f(x) is a polynomial function and is continuous, for x > 0, f(x)
is a constant function and is continuous.
At
x = 0
Also,
f(0) = 0
Since
LHL = RHL = f(0).
Therefore
f is continuous at x = 0
Now
for x < 1, f(x) is a constant function and is continuous, for x < 1, f(x)
is a polynomial function and is continuous.
At
x =1
=
0
is
discontinuous at x =1.
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