# 14. Discuss the continuity of the function f, where f is defined by

Given function is

GIven function is defined for every real number k
Different cases are their
case (i)  k < 1

Hence, given function is continous for every value of k < 1

case(ii)    k = 1

Hence, given function is discontinous at x = 1
Therefore, x = 1 is he point od discontinuity

case(iii)   1 < k < 3

Hence, for every value of k in 1 < k < 3 given function is continous

case(iv)  k = 3

Hence. x = 3 is the point of discontinuity

case(v)  k > 3

Hence, given function is continous for each and every value of k > 3
case(vi)  when k < 3

Hence, for every value of k in k < 3 given function is continous

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