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fx=x is differentiable at x=0.

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Important Questions on Functions

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f(x)=5-|x-1| Find the maximum value of f(x), also find the value of x for which f(x) is maximum.
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The solution of the inequality 1+x-10 is
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Solution of x-1+x-2+x-36 is
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The set of all x satisfying the inequality 3x+47 is
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The equation |x|+xx-1=x2|x-1| will be always true for x, belonging to
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If a 3×3 matrix is filled with +1's and -1 's such that the sum of each row and column of the matrix is 1, then the absolute value of its determinant is
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Let t denote the greatest integer t and limx0x4x=A. Then the function, fx=x2sinπx is discontinuous, when x is equal to:
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If p,q,r are any real numbers, then
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If the solution set of the inequality a+3x6 is -83,43, then the value of a is equal to
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The set of real values of x for which the inequality x-1+x+1<4 always holds good is
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The area bounded by the curves y=x-1+x-2 and y=3 is equal to

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The number of pairs (x, y) satisfying the equation sinx+siny=sin(x+y) and |x|+y=1  is
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If a ∈ R  and the equation -3(x - [x])2+2(x - [x])+a2 = 0 (where [x] denotes the greatest integer  x) has no integral solution, then all possible values of a lie in the interval 
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The number of solutions of the equation log4x-1=log2x-3 is ______.
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Let f:RR be defined by fx=2x;x>3x2;1<x33x;x1  

Then f-1+f2+f4 is

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The value of x for which x+3>2x-1 is
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If 3x-212, then the complete set of values of x is