Answer:
For
x < ?1, f(x) is constant functions and is continuous, for x > ?1, f(x) is
a polynomial function and is continuous.
At
x = ? 1
Also
f(?1) = ?2
Since
LHL = RHL = f(?1)
Therefore
f is continuous at x = ?1
Now
for x < 1, f(x) is a polynomial function, so f is continuous, for x > 1,
f(x) is constant function, so, f is continuous.
At
x = 1
f(1)
= 2(1) = 2
Since
LHL = RHL = f(1)
therefore
f is also continuous at x = 1.
is a
continuous function.
You need to login to perform this action.
You will be redirected in
3 sec