2. Rational fucntion: Has a function in the numerator and denominator. There are three different types of rational functions.
3. Type 1 The horizontal asymptote (HA) will always equal zero when the expression is type 1. In order to solve a type 1 you must find the following: Vertical Asymptote (VA): bottom equal to 0 Horizontal Asymptote (HA): y=0 every time X-intercept: top equation equal to 0. Y=0 Y-intercept: Use the table on calculator. X=0 Domain: ( )( ) Range: ( )( ) And a table and a graph.
4. Type 1 example When the power of the denominator is bigger than numerator. Y= 6x+8 (x-1)(x-3) VA: x=1, x=(-3) HA: y=0 X-int: y=0 6x+8=0 -8 -8 6x = -8 6 6 X= -1.33 Table Y-int: x=0 (0, -2.67) Graph
5. Type 2 When the power of the numerator and denominator are the same. Y= a number this time it’s not just zero like type 1. Example: y= x+4 x-1 VA: x=1 HA: y=1 X-int: y=0 (-4,0) X+4 =0 -4 -4 X= -4 Y-int: x=0 (-4,0)
6. Type 3 When the power of the numerator is bigger than the denominator. Example:
