WK 5 DQ 2.docx - An asymptote is a line that a curve approach as it heads towards infinity It has three types of curve horizontal vertical and oblique

# WK 5 DQ 2.docx - An asymptote is a line that a curve...

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An asymptote is a line that a curve approach, as it heads towards infinity. It has three types of curve horizontal, vertical and oblique. It direction can be negative also. The curve can approach from any side (such as from above or below for horizontal asymptote), or may actually cross over (possibly many times), and even move away and back again. The distance between the curve and the asymptote tends to zero as they head to infinity or – infinity (∞, -∞). Horizontal Asymptotes Horizontal asymptotes help to describe the behavior of graph as the input gets large or very small. Recall that a polynomials end behavior will mirror that of leading terms. Likewise, a rational function’s end behavior will mirror that of the leading terms of numerator and denominator function. There are three distinct outcomes when checking for horizontal asymptotes. They are, If n < m, the x-axis, y = 0 is the horizontal asymptote.

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