Math Assignment Help With Horizontal Asymptotes

4.5.2 Horizontal Asymptotes

f(x) = 2x – 1

x

1. i) Let’s find the value of f(x) for increasing values of x.

1. ii) Let’s find the value of f(x) for decreasing values of x

As | x | increases, the numerator is dominated by the term 2x and the denominator has only one term x. Therefore f(x) takes values closer to 2x / x = 2. See graphical behaviour below.

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