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Discuss the continuity of f(x)=sgn(x^3-x...

Discuss the continuity of `f(x)=sgn(x^3-x)`

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. The domain of f(x)=ln(a x^3+(a+b)x^2+(b+c)x+c), where a >0, b^2-4ac=0,...

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  2. If f: R^+ to R , f(x) + 3x f(1/x)= 2(x+1),t h e n find f(x)

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  3. Discuss the continuity of f(x)=sgn(x^3-x)

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  4. If f(x)=x^2 for xgeq1 and x for x<0,then fof(x) is given by

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  5. If f(x+f(y))=f(x)+yAAx ,y in R a n df(0)=1, then find the value of f(...

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  6. Let f: RrarrR, where f(x)=sinx , Show that f is into.

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  7. Draw the graph of the function: f(x)=log|x|

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  8. If the graph of y=f(x) is symmetrical about the lines x=1a n dx=2, t...

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  9. Find the domain of f(x)(sqrt((1-sinx)))/((log)5(1-4x^2) +cos^(-1)(1...

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  10. Sketch the curve |y|=(x-1)(x-2)dot

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  11. If f(x) is a real-valued function defined as f(x)=In (1-sinx), then t...

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  12. Find the range of f(x)=cos((log)e{x})dot

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  13. Plot y=sinxa n dy=2sinxdot

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  14. If f:x->y, where x and y are sets containing natural numbers, f(x)=(x...

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  15. Find the domain and range of f(x)=cos^(-1)sqrt((log)([x])((|x|)/x))

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  16. Discuss the continuity of the following function : f(x)={1,ifxi sr a t...

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  17. Find the range of f(x)=(log)([x-1])sinxdot

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  18. Plot y=sinxa n dy=sin(x/2)

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  19. The function f(x) is defined on the interval [0.1] Then match the foll...

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  20. In the questions, [x]a n d{x} represent the greatest integer function ...

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