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Construct the graph of the function f(x)=-|(x^(2)-9)/(x+3)-x+(2)/(x-1)|and comment upon the following (a) (-oo,0) (b) uarrin (1, 5/3) and darr in (-oo,1)uu(5/3,oo)-{-3} (c) x=5/3 (a) Range of the function, (b) Intervals of monotonocity, (c) Point(s) where f is continuous but not differentiable, (d) Point(s) where f fails to be continuous and nature of discontinuity. (e) Gradient of the curve where f crosses the axis of y. |
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Answer» (d) removable discont.at `x=-3`(missing POINT ) and non removable discont. at`x=1` (infinite TYPE) (e) `-2` |
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