Rational+Functions+Review

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Rational Functions ~ An Overview
 * The rational function, commonly known as the "fraction function", is basically a division of two polynomial functions. That is, it is a polynomial divided by another polynomial. In formal notation, a rational function would be symbolized like this:

General Rules

I. Doman Restrictions A. Vertical Asymptote - If there are infinite limits on either side of the domain restriction then there is a vertical asymptote.

FOR EXAMPLE: for function f(x) defined as, !! Because any number divided by zero is undefined, f(x) is undefined when x = -2. So, the limit of f(x) as x approaches -2 from the right is negative infinity, and the limit of f(x) as x approaches 2 from the left is positive infinity.

B. Holes in the graph- If the limits on both sides of a discontinuity are equal to a number, then there is a hole in the graph at that number.