Limits! sincovich

LIMITS!!!!!!!By: Glenn Sincovich

Intended Height =

The y value that is approached as X approaches a certain value

Approaching from the Right

Has a + sign in the equation after the number that X is approaching, and this

means that you look at the graph COMING from the right side, or the

positive side.

Approaching from the Left

Has a - sign in the equation after the number that X is approaching,

and this means that you look at the graph COMING from the left side, or

the negative side.

Holes

AKA : Points of Discontinuity

1. Factors that cancel in the denominator2. If everything in the denominator cancels, there are NO asymptotes, just a hole (or holes)

Asymptotes

A line that the graph approaches but never touches

Vertical Asymptotes

Factors that don’t cancel in the denominator

Horizontal Asymptotes

1. When the greatest exponents are equal: take the ratio of the coefficients2. When the greatest exponent is in the denominator, y=0

Slant Asymptotes

When the greatest exponent is one more than the numerator: use long or synthetic division