GevorgO278032 GevorgO278032
  • 25-10-2022
  • Mathematics
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6d) write an equation in the form r(x) = p(x) / q(x) for each function shown below.Note: The data can be obtained from the graph in picture

6d write an equation in the form rx px qx for each function shown belowNote The data can be obtained from the graph in picture class=

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JaxxV349643 JaxxV349643
  • 25-10-2022

F(x) =a (x-b) /(x-c )(x-d)

Vertical asymptote : x =1; therefore c = 1

therefore F(x) = a(x-b)/(x-1)

2. horizontal asymptote y = -3

x -intercept at (1/2; 0) , so b = 1/2 , then F(x) = a(x-1/2) ( x-1)

the graph passes through (0;-1) , so finding a :

-1 = a(0-1/2)/ (0-1) ';

-1(-1) = -1/2 a therefore a = -2* (1) ; so a = -2

so the graph will be y = -2 ((x-1/2) / (x-1)

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