Examine the following functions for continuity:
(a) `f(x) = x - 5`

Examine the following functions for continuity: (d) f(x) = |x - 5| .

Examine the following functions for continuity: (b) f(x) = 1/(x - 1), x != 5

Examine the following functions for continuity: (c) f(x) = (x^(2) - 25)/(x +5), x != -5

Discuss the continuity of the following functions : f(x) = sin x. cos x .

Discuss the continuity of the following functions : f(x)= sin x - cos x

Define a continuity of a function at a point. Find all the points of discontinuity of f defined by f(x) = |x| - |x - 1| .

Discuss the continuity of the following functions : f(x)= sin x +cos x