Home
Class 12
MATHS
f(x)={(1-x, x le1/2),(x,x gt 1/2):} at x...

`f(x)={(1-x, x le1/2),(x,x gt 1/2):} at x=1/2`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|88 Videos
  • LINEAR INEQUALITIES

    MBD PUBLICATION|Exercise QUESTION BANK|46 Videos

Similar Questions

Explore conceptually related problems

Test differentiability of the following function at the indicated points. f(x)={(1-2x,xle1/2),(x-1/2,x>1/2) :} at x=1/2

Is the function f defined by f(x)={(x", if "xle1),(5", if "xgt1):} continuous at x=0, at x=1 and at x=2 ?

If f(x)={(x,0lexle1),(2-x,1lexle2):} , then what is the value of int_0^2f(x)dx ?

lim_(xto1)f(x) if f(x)={(2x-1, xle1), (2x+1, xgt):}

Answer with reasons, whether the following function has a relative (local) maximum at x = 2 or not. f(x) = {{:(x,0 le x lt 1),(1,1 le x le 2),(3-x,2 lt x le 3):}

Find extreme value of f(x).={{:((x)/(1-x^2),-1ltxlt0),(x^3-x,0lexlt2):} on (-1,2)

Determine the absolute maximum and absolute minimum of the following function on [-1, 1]. f(x) = {{:((x + 1)^(2),x le 0),((x - 1)^(2),x gt 0):}