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If f(x)={x^2sin((pix)/2),|x|<1x|x|,|x|ge...

If `f(x)={x^2sin((pix)/2),|x|<1x|x|,|x|geq1,t h e nf(x)i s` an even function (b) an odd function a periodic function (d) none of these

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Let f(x)=a x+b and g(x)=c x+d , a!=0. Assume a=1,b=2. If (fog)(x)=(gof...

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  2. Solve x^2-4-[x]=0 (where [] denotes the greatest integer function).

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  3. If f(x)={x^2sin((pix)/2),|x|<1x|x|,|x|geq1,t h e nf(x)i s an even fun...

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  4. Let f(x) and g(x) be bijective functions where f:{1, b , c , d} rarr {...

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  5. If a lt b lt c , then find the range of f(x)="|x-a|+|x-b|+|x-c|

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  6. The function f:(-oo,-1)rarr(0, e^5) defined by f(x)=e^(x^3-3x+2) is ...

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  7. Let f:{2,3,4,5}rarr{3,4,5,9} and g:{3,4,5,9}rarr{7, 11 , 15} be functi...

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  8. Find the set of real value(s) of a for which the equation |2x+3|+|2x-...

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  9. Which of the following function/functions is/are periodic ? (a) sgn(...

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  10. If f(x)=1/x ,g(x)=1/(x^2), and h(x)=x^2, then (A) f(g(x))=x^2,x!=...

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  11. Find the domain of the function f(x)=1/(1+2sinx)

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  12. Find the period (if periodic) of the following function : f(x)=(|sinx+...

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  13. Find the range of f(x)=sqrt(1-sqrt(x^2-6x+9))

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  14. The value of sum(r=1)^(2000) {{x+r}}/2000 is

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  15. Find the period (if periodic) of the following function ([.] denotes ...

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  16. Let f(x)=3x^2-7x+c , where c is a variable coefficient and x >7/6 . Th...

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  17. Solve: |-2x^2+1+e^x+sinx|=|2x^2-1|+e^x+|sinx|,x in [0,2pi].

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  18. Let [x] denotes the greatest integer less than or equal to x . If the ...

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  19. The domain of the function f(x)=sin^(-1){(log)2(x^2)/2} is given by

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  20. Solve |sinx+cosx|=|sinx|+|cosx|,x in [0,2pi].

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