Tuesday Feb 4, End behavior of Rational Functions

Post date: Feb 4, 2014 10:15:10 PM

Notes:

If the degree of the numerator is greater than the degree of the denominator, then when x is approach infinity, y is also approaching infinity.

If the degree of the numerator is equal to the degree of the denominator, then when x is approach infinity, y is approaching the coeffienct of p(x)/q(x)

If the degree of the numerator is less than the degree of the denominator, then when x is approah infinity, y is approaching zero.

Let's look at an example:

As , the ratio goes to zero and also goes to zero.

As ,

HW: Sec 9.8 (1-12) due block; quiz skills 29-31 & 33 on Friday