Small Conceptual Doubt

If a function has a breakpoint at a certain point in the domain, then should we say that the function is increasing or decreasing at that point ????????

Origin of the doubt :-

Is (x+ 1/x) increasing at x=0 ???

L- = -∞
L+ = +∞

Jaldi Batao PLZ !

8 Answers

1
skygirl ·

chcek f'(x) just before and aftre the point ..

1
skygirl ·

also check f''(x) ... for change of concavity..

11
Mani Pal Singh ·

If a function has a breakpoint at a certain point in the domain, then should we say that the function is increasing or decreasing at that point ????????

Origin of the doubt :-

Is (x+ 1/x) increasing at x=0 ???

L- = -∞
L+ = +∞

Mr Bhavesh
at x=0 the fuction is not defined
so it will be idiotic to talk about x=0
we know x=0 will be the asymptote of thefunction
but ur question have to be modified to make some sense

1
betrayed.... always ·

@ x=0

f' = 1-(1/x2 ) = ∞
f'' also ∞

Ab kya????

1
betrayed.... always ·

Yaar not only dis but also step function is breakfunction at integers
so. is that increasing @integers????

11
Mani Pal Singh ·

mere bhai
at x=0 jab function hi defined nahin hai to uss pe behas karne ka kya faida???

now look at its graph and decide urself
is ur question apt?

1
betrayed.... always ·

The MEGAORIGIN of the Doubt:-

The function x+1/x is non-increasing in the interval[-1,1]

IS dis TRUE or FALSE ????

Mere BADE BHAI plz help now ! :-(

11
Mani Pal Singh ·

i think i have given the graph now ( hopefully correct)

u can see clearly that it is increasing 4m (-1.0)
and decreasing 4m (0,1)

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