Write an equation for the function graphed Show the work to

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

lim_x-->infinitya[x(x-3)]/[(x+3)(x -4)] =2

lim_x-->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)]