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

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

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`y = (x-1)/(x-2)= (x-2+1)/(x-2) =1 + (1)/(x-2)`
or `" "(x-2)(y-1)=1`
which is rectangular hyperbola having centre (2, 1) as shown in the following figure.
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CENGAGE-GRAPHS OF ELEMENTARY FUNCTIONS -Exercise
  1. Sketch the region satisfying |x| lt |y|.

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  2. Let f:R→R:f(x)=(x+1) and g:R→R:g(x)=(x^2−2). Write down the formulae f...

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

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  4. The following figure shows the graph of f(x) =ax^(2)+bx +c, then find ...

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  5. The entire graph of the equation y=x^2+k x-x+9 in strictly above the x...

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  6. If x^2+2a x+a<0AAx in [1,3], the find the values of adot

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

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  8. Draw the graph of the function: Solve |(x^2)/(x-1)|lt=1 using the grap...

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  9. Draw the graph of y = |x^(2) - 2x|-x.

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  10. Draw the graph of y =2^(x)"," x^(2)-2x le 0

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  11. Find the roots of the equation by factorization: 2x^2-x-1

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  12. Divide 16(x^2yz + xy^2z+xyz^2) by 4xyz

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

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  14. Draw the graph of y=|x|.

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

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

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  17. Draw the graph of f(x)= x+ [x], where [*] denotes the greatest integer...

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  18. Given f(x) is a periodic function with period 2 and it is defined as ...

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  19. Sketch the region of relation [x] + [y] = 5, x, y ge 0, where [*] deno...

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

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