Question2 Solutiona y x2 x3x3 11 x2 384 x 533 qx x3 11

Solution

a)   y = (x^2 + x+3)/(x^3 - 1.1 x^2 +3.84 x -5.33 )

q(x) = (x^3 - 1.1 x^2 +3.84 x -5.33 ) = 0 at x = 1.3

therefore the graph will have asymptote at x = 1.3

q\'(x) = 3 x^2-2.2x+3.84

D <0 , a >0 ,so derivative > 0 so only one root of q(x)

p(x) = x^2 + x+ 3 ,

D <0 , a> 0 so always positive ,

so no root of y ,

considering all facts ,

the graph of y is C)

b) the graph of Q(x) is D)

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