Answer:
For
x < ?3, f(x) = |x| + 3, f(x) the sum of modulus function and constant
function.
is
continuous or x < ?3 and being a polynomial function for x > ?3, f is
continuous.
At
x = ?3
=
6
Also
f(?3) = |?3| + 3
=
3 + 3 = 6
Since
LHL = RHL = f(?3)
is
continuous at x = ?3.
Now
for x < 3 and x > 3, f(x) is a polynomial function.
is
continuous except possible at x = 3.
At
x = 3.
=
20
Since
LHL RHL
is
discontinuous at x = 3.
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