Math Assignment Help With Horizontal Asymptotes
4.5.2 Horizontal Asymptotes
f(x) = 2x – 1
x
- i) Let’s find the value of f(x) for increasing values of x.
| x | 1 | 10 | 102 | 103 |
| f(x) | 1 | 1.9 | 1.99 | 1.999 |
- ii) Let’s find the value of f(x) for decreasing values of x
| x | -1 | -10 | -102 | -103 |
| f(x) | 3 | 2.1 | 2.01 | 2.001 |
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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