Pre Calculus

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.

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  1. 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.

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    bobpursley

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