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If f(x)=cos |x|+[|sin x/2|] (where [.] d...

If `f(x)=cos |x|+[|sin x/2|]` (where [.] denotes the greatest integer function), then f (x) is

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Find the range of f(x)=1/(1-3sqrt(1-sin^2x))

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  2. Let f: RrarrRa n dg: RrarrR be two one-one and onto function such tha...

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  3. If f(x)=cos |x|+[|sin x/2|] (where [.] denotes the greatest integer fu...

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  4. If x in [1,2], then find the range of f(x)=tan x.

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  5. If f(x)=(-1)^([2/pi]),g(x)=|sinx|-|cosx|,a n dvarphi(x)=f(x)g(x) (wher...

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  6. Which of the following function is (are) even, odd, or neither? (a). ...

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  7. Find the number of solutions of the equation sinx=x^(2)+x+1.

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  8. Let f(x)=sgn(cot^(-1)x)+tan((pi)/(2)[x]), where [x] is the greatest in...

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  9. Identify the following functions whether odd or even or neither even n...

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  10. Find the range of f(x)=sin^2x-sinx+1.

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  11. Suppose that f is an even, periodic function with period 2, and f(x)=x...

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  12. Find the period f(x)=sinx+{x}, where {x} is the fractional part of xdo...

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  13. Find the range of f(x)=1/(2cosx-1)

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  14. If f(x)=sinx+cosa x is a periodic function, show that a is a rational ...

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  15. The entire graphs of the equation y=x^2+kx-x+9 is strictly above the x...

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  16. if:f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the...

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  17. Discuss whether the function f(x)="sin"(cosx+x) is period or not. If y...

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  18. f(x)=1/sqrt(x^(12)-x^(9)+x^(4)-x+1). Then domain of function f(x) is

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  19. Find the range of f(x)=|sinx|+|cosx|,x in Rdot

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  20. If f: R to R is given by f(x)=(x^2-4)/(x^2+1) , identify the type of f...

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