Home
Class 12
MATHS
(a) Draw the graph of f(x) = ={{:(1",",,...

(a) Draw the graph of `f(x) = ={{:(1",",, |x| ge 1), ((1)/(n^(2)) ",",, (1)/(n)lt |x|lt (1)/(n-1)","n= 2"," 3"," ...), (0",",, x=0):}`
(b) Sketch the region `y le -1`.
(c) Sketch the region `|x| lt 3`.

A

is discontinuous at finitely many points

B

is continuous everywhere

C

is discontinuous only at `x=pm (1)/(n), n in Z-(0) and x=0`

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

Draw the graph of f(x) = {{:(x^(3)","x^(2) lt 1), (x","x^(2) ge 1):}

Sketch the region satisfying |x| lt |y| .

Draw the graph of y=|x|^(1/2) for -1lt=x<1.

f (x)= {{:(2(x+1),,, x le -1),( sqrt(1- x^(2)),,, -1 lt x lt 1), (|||x|-1|-1|,,, x ge1 ):} , then:

y = cos ^(-1)((1 - x^(2))/(1+ x^(2))) 0 lt x lt 1

Let f(x)={(2x+a",",x ge -1),(bx^(2)+3",",x lt -1):} and g(x)={(x+4",",0 le x le 4),(-3x-2",",-2 lt x lt 0):} If a=2 and b=3, then the range of g(f(x)) is

Let f(x)={(2x+a",",x ge -1),(bx^(2)+3",",x lt -1):} and g(x)={(x+4",",0 le x le 4),(-3x-2",",-2 lt x lt 0):} g(f(x)) is not defined if

The function f(x)= {(5x-4 ", " 0 lt x le 1 ),( 4x^3-3x", " 1 lt x lt 2):}

If f(x) = {{:( 3x ^(2) + 12 x - 1",", - 1 le x le 2), (37- x",", 2 lt x le 3):}, then

Draw the graph of f(x) = {{:(x-2n,""2n le xlt 2n +1), "" (1/2,""2n+1 le x lt 2n+2):} periodic? If yes, what is its period?