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how 2 draw graph of 1/1-|x|^2

how 2 draw graph of 1/1-|x|^2

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Dear jauneet

y= 1/1-|x|^2

we can write  |x|2 =x2

because x2 is positive for all x

for this function check the critical point

here +1 and -1 is a critical point because graph tends to infinity at these points

now

 find  Lt x→1{1/1-x2 }

            =-∞

and  Lt x→1{1/1-x2 }

            =∞

and  Lt x→-1{1/1-x2 }

            =∞

and  Lt x→-1{1/1-x2 }

            =-∞

and clearly at x=0 ,y=1

now draw the graph


7739-247_7662_untitled.JPG


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Badiuddin

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