Home
Class 12
MATHS
Sketch the graph of the function : " ...

Sketch the graph of the function :
`" "y=f(x)={:{(-x",", "when "x le 0),(x",", "when "x gt0):}`
From the graph examine the continuity of f(x) at x = 0.

Promotional Banner

Topper's Solved these Questions

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Multiple choice question|28 Videos
  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Very short answer type questions|80 Videos
  • REAL NUMBERS

    CHHAYA PUBLICATION|Exercise Exercise (Long Answer Type Questions)|10 Videos
  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|3 Videos

Similar Questions

Explore conceptually related problems

Draw the graph of the function " "y=f(x)={:{(|x|/x",","when "x ne 0),(0",","when "x = 0):} From the graph examine the continuity of f(x) at x = 0.

Sketch the graph of the function : f(x)=0," when "x lt1 =x-1," when "x ge1 From the graph examine whether f(x) is continuous at x =1 or not.

Draw the graph of the function : f(x)=1+2x," when "xle1 =3-x," when "x gt1 From the graph examine whether f(x) is continuous at x = 1 or not.

Sketch the graph of the following functions: f(x)=e^|x|

Sketch the graph of f(x)=(|x|)/(x), f(0)=1. From the graph examine the continuity of f(x) at x = 0.

If f(x)={(x,"when "0le x le 1),(2x-1,"when "x gt 1):} then -

Sketch the graph of the following functions: f(x)=sin|x|

If f(x)={{:((|sinx|)/(x),"when "xne0),(1,"when "x=0):} then examine the continuity of the function at x = 0.

Sketch the graph of the following functions: f(x)=|sin|x||

Sketch the graph of the following functions: f(x)=|In|x||