Question -
Answer -
The given function f is
Thegiven function f is defined at all the points of the realline.
Let c bea point on the real line.
Case I:
Therefore, f iscontinuous at all points x, such that x < 2
Case II:
Therefore, f iscontinuous at x = 2
Case III:
Therefore, f iscontinuous at all points x, such that x > 2
Thus,the given function f is continuous at every point on the realline.
Hence, f hasno point of discontinuity.