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Draw the graph of y=|logx|....

Draw the graph of `y=|logx|`.

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The graph of `y=log_(e)x` is as follows.

To draw the graph of `y=|log_(e)x|`, we follow the following procedure.
(i) For `xge1,log_(e)xge0,` so the graph of `y=|log_(e)x|` coincides with that of `y=log_(e)x`.
(ii) For `0ltxlt1,log_(e)xlt0,` so flip the graph of `y=log_(e)x` over the x-axis.
Hence we have the graph of `y=|log_(e)x|` as shown in the following figure.

From the graph, we can see that `y=|log_(e)x|` is non-differentiable at x=1.
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CENGAGE-GRAPHICAL TRANSFORMATIONS-Exercise
  1. Draw the graph of y=|logx|.

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  2. Draw the graph of y=tan^(-1)x-cot^(-1)x.

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  3. Draw the graph of y=|(1)/(|x|)-2|.

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  4. Draw the graph of y=tan^(-1)x+cos^(-1)x+sin^(-1)x.

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  5. Draw the graph of |y|=(x-1)(x-2)(x-3).

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  6. Draw the graph of y=2sin^(-1)(x//3).

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  7. Draw the graph of y=cot^(-1)|x|.

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  8. Draw the graph of y=sec^(-1)|x|.

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  9. Draw the graph of y=|log(e)(x+3)|.

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  10. Draw the graph of y=|log(e)|x||.

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  11. Draw the graph of y=|{x}-0.5|, where {.} represents the fractional par...

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  12. Draw the graph of y=|sinx|+sin|x|.

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  13. If the graph of y=|f(x)| is as shown in figure then the graph of y=f(...

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  14. The number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)sin^...

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  15. Find the number of real solutions to the equation log(0.5)|x|=2|x|.

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  16. Find the number of points where the function f(x)=max|tanx|,cos|x|) is...

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  17. Find the number of points of non-diferentiability for f(x)=max{||x|-1|...

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  18. Let f(x) = max. {|x^2 - 2| x ||,| x |} then number of points where f(x...

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  19. Draw the graph of |y|=[x], where [.] represents the greatest integer f...

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  20. Draw the graph of |2x|+|y|=2 using graphical transformation.

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  21. Consider the function f(x)={2x+3, x le 1 and -x^2+6, x > 1 Then draw t...

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