Home
Class 12
MATHS
Draw the graph of the function f(x) = x ...

Draw the graph of the function `f(x) = x - |x - x^(2)|, -1 le x le 1` and discuss the continuity or discontinuity of f in the interval `-1 le x le 1`

Text Solution

Verified by Experts

The correct Answer is:
f is continuous in `-1 le x le 1`
Promotional Banner

Similar Questions

Explore conceptually related problems

Redefine the function f(x)= |x-2| + |2 + x|, -3 le x le 3

Determine the average value of y=2x+3 in the interval 0 le x le 1 .

Determine the average value of y=2x+3 in the interval 0 le x le 1 .

If f(x) = {|x|-|x-1|}^(2) , draw the graph of f(x) and discuss its continuity and differentiability of f(x)

Differentiate w.r.t x the function sin^(-1) (x sqrtx) , where 0 le x le 1

Draw the graph of y=[x^(3)], when -2^(1//3)le x le 2^(1//3)

f(x)=abs(x-1)+abs(x-2), -1 le x le 3 . Find the range of f(x).