a. Identify the horizontal asymptotes of the function f(x)=x+6 / |x|+1

( / = divided by/over)

b. Make a summary of how you may sketch a graph of this rational function.

divide numerator and denominator by abs x

f(x)=sign(1)+6/x )/(1+1/absx)
so as x>>>inf
f(x) approaches 1
as x<<<0 approaching - inf
f(x) approachees- 1

horizonalal -1, +1 asym.