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Draw the graph and find the points of di...

Draw the graph and find the points of discontinuity `f(x) = [2cos x]` , `x in [0, 2pi]` . ([.] represents the greatest integer function.)

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CENGAGE-RELATIONS AND FUNCTIONS-Solved Examples And Exercises
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  2. Find the inverse of the function: f:(-oo,1] rarr [1/2,oo],w h e r ef(...

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  7. f:(2,3)vec(0,1)d efin e db yf(x)=x-[x],w h e r e[dot] represents the g...

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  9. Find the inverse of the function: f:[-1,1]rarr[-1,1]defined byf(x)=x|...

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  10. If f(x+y+1)={sqrt(f(x))+sqrt(f(y))}^2 and f(0)=1AAx ,y in R ,d e t e ...

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  11. Let f(x)=(9^x)/(9^x+3) . Show f(x)+f(1-x)=1 and, hence, evaluate. f(1/...

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  15. The period of f(x)=[x]+[2x]+[3x]+[4x]+[n x]-(n(n+1))/2x , where n in ...

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  16. Plot y=|x|,y=|x-2|, and y=|x+2|

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  17. If f(x+1/2)+f(x-1/2)=f(x)fora l lx in R , then the period of f(x) is ...

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  18. If for all real values of ua n dv ,2f(u)cosv=(u+v)+f(u-v), prove that ...

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  19. If the period of (cos(sin(n x)))/(tan(x/n)),n in N ,i s6pi , then n= ...

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  20. If f: X rarr[1,oo) is a function defined as f(x)=1+3x^3, find the su...

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

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