decreasing function

Question

How to Calculate?

f(x) is decrasing in $[3,\alpha ]$

then f(x) is continuous or not continuous on x=5?

Comments

yes.

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It may or may not be .. We can have discontinuous graph still satisfying decreasing function property..As basic definition is :

f(x) is strictly increasing if f(a) > f(b) for all a < b.
f(x) is increasing if f(a) >= f(b) for all a < b.

rather than in terms of f'(x)..

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Without graph if any other way to derive it

Like with function

Can u give an example

if example possible for f(a) > f(b) for all a < b.