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

Draw the graph of `f(x) =y= |x-1|+3|x-2|-5|x-4|` and find the values of `lamda` for which the equation `f(x) = lamda` has roots of opposite sign.

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We have `y=f(x) = |x-1|+ 3|x-2|- 5|x-4|`
`" "={{:(1-x+6-3x-20+5x",",, xlt1), (x-1+6-3x-20+5x",",,1le x le 2), (x-1+3x-6-20+5x",",,2 lt x lt 4),(x-1+3x-6+20-5x",",,xge 4):}`
`" "={{:(-13+x",",, xlt1), (-15+3x",",,1le x le 2), (-27+9x",",,2 lt x lt 4),(13-x",",,xge 4):}`
Graph of the function is as shown in the following figure.
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CENGAGE PUBLICATION-GRAPHS OF ELEMENTARY FUNCTIONS -EXERCISES
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  2. Draw the graph of f(x)= |2x-1|+ |2x-3|. Find the range of the function...

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  3. Draw the graph of f(x) =y= |x-1|+3|x-2|-5|x-4| and find the values of ...

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

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  5. Draw the graph of y= 2^(((|x|+x))/(x)).

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  6. Draw the graph of y= x ^((1)/(log(e)x)).

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  7. Find the number of solutions to the equation x+log(e)x=0.

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  8. draw the graph of f(x)=x+[x], [.] denotes greatest integer function.

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  13. Draw the graph of y= 2^({x}), where {*} represents the fractional part...

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  14. The area of the region containing the points (x , y) satisfying 4lt=x^...

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  15. Draw the graph of y= -sqrt(x^(2)+2)

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  16. Draw the graph of y=|x|^(1/2) for -1lt=x<1.

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  17. Draw the graph of f(x) = "sgn"(log(0.5) x).

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  18. The graph of y=f(x) is as shown in the following figure. Draw the grap...

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  19. Discuss the continuity of f(x)=(lim)(n->oo)(x^(2n)-1)/(x^(2n)+1)

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