`f (x)= max |2 sin y-x|` where `y in R` then determine the minimum value of `f (x).`
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2
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Knowledge Check
Consider the function f(x) = (x^(2)-1)/(x^(2) + 1) , where x in R What is the minimum value of f(x) ?
A
0
B
`1/2`
C
`-1`
D
2
Let y=f(x) be the solution of the differential equation (dy)/(dx)+k/7 x tan x=1+xtanx-sinx, where f(0)=1 and let k be the minimum value of g(x) where g(x)="max"|(sqrt(193)-1)/2cosy+cos(y+(pi)/3)-x| where yepsilonR then Area bounded by y=f(x) and its inverse between x=(pi)/2 and x=(7pi)/2 is
A
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D
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Consider a differentiable f:R to R for which f(1)=2 and f(x+y)=2^(x)f(y)+4^(y)f(x) AA x , y in R. The minimum value of f(x) is
A
1
B
` -(1)/(2)`
C
`-(1)/(4)`
D
None of these
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