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

If `f(x)=(-1)^([2/pi]),g(x)=|sinx|-|cosx|,a n dvarphi(x)=f(x)g(x)` (where [.] denotes the greatest integer function), then the respective fundamental periods of `f(x)`,`g(x)`,and `varphi(x)` are (a) `pi,pi,pi` (b) `pi,2pi,pi` `pi,pi,pi/2` (d) `pi,pi/2,pi`

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
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  2. If x in [1,2], then find the range of f(x)=tan x.

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

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

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

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

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

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

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

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

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

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  18. 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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  19. If f(x)=|x^2-5x+6|, then f'(x) equals

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