Home
Class 12
MATHS
f(x)={(0,quad x=0),(x-3,x>0) :} .The fun...

`f(x)={(0,quad x=0),(x-3,x>0) :} `.The function `f(x)` is
(a) Increasing when `x>=0`
(b) Strictly increasing when `x>0`
(c) Strictly increasing at `x=0`
(d) Not continuous at `x=0` and so it is not increasing when `x>0`

Promotional Banner

Similar Questions

Explore conceptually related problems

The function f(x)=(x)/(1+|x|) is (a) strictly increasing (b) strictly decreasing (c) neither increasing nor decreasing (d) none of these

Show that the function f(x ) = |x| is (a) striclty increasing on [0, oo] (b) strictly decreasing on [-oo, 0]

Function f(x)=a^x is increasing on R , if (a) a >0 (b) a 1

Show that the function f(x) = x^(2) is (a) strictly increasing on [0, oo] (b) strictly decreasing on [-oo, 0] (c) neither strictly increasing nor strictly decreasing on R

Prove that the function f given by f(x)=log cos x is strictly increasing on (-pi/2,0) and strictly decreasing on (0,pi/2)

f(x) is a strictly increasing function, if f'(x) is :

Prove that the function f(x)=log_(e)x is increasing on (0,oo)

show that the function f(x)=sin x is strictly increasing in (0,(pi)/(2)) strictly decreasing in ((pi)/(2),pi)

Find the intervals in which the function f(x) = sin x +cos x,x in [0, 2pi] is (i) strictly increasing, (ii) strictly decreasing.

Prove that the function f(x)=(log)_(e)x is increasing on (0,oo)