Write an equation for the function graphed. Show the work to find th.pdf
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The document outlines how to derive the equation of a rational function based on its roots and asymptotes. The roots are x=0 and x=3, and the vertical asymptotes are located at x=-3 and x=4. The resulting function is determined to be y=2[x(x-3)]/[(x+3)(x-4)].
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![Write an equation for the function graphed. Show the work to find the value of a
Solution
22)roots are x =0,3
numerator has x(x-3)
vertical asymptotes at x =-3 , x=4
denominator has (x+3)(x -4)
function is of the form y =a[x(x-3)]/[(x+3)(x -4)]
horizontal at y =-2
limx-->infinitya[x(x-3)]/[(x+3)(x -4)] =2
limx-->infinitya[x2(1-(3/x))]/[x2(1+(3/x))(1 -(4/x))] =2
=>a[(1-(0))]/[(1+(0)(1 -(0))] =2
a =2
function is y =2[x(x-3)]/[(x+3)(x -4)]](https://image.slidesharecdn.com/writeanequationforthefunctiongraphed-230703085504-ddc1dd9d/85/Write-an-equation-for-the-function-graphed-Show-the-work-to-find-th-pdf-1-320.jpg)
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Write an equation for the function graphed. Show the work to find th.pdf
- 1. Write an equation for the function graphed. Show the work to find the value of a Solution 22)roots are x =0,3 numerator has x(x-3) vertical asymptotes at x =-3 , x=4 denominator has (x+3)(x -4) function is of the form y =a[x(x-3)]/[(x+3)(x -4)] horizontal at y =-2 limx-->infinitya[x(x-3)]/[(x+3)(x -4)] =2 limx-->infinitya[x2(1-(3/x))]/[x2(1+(3/x))(1 -(4/x))] =2 =>a[(1-(0))]/[(1+(0)(1 -(0))] =2 a =2 function is y =2[x(x-3)]/[(x+3)(x -4)]