A "proper" review requires using formal limit notation to describe the behavior near asymptotes and at the ends: Horizontal Asymptote at : 4. Example Problem Consider the function Vertical Asymptote: Set Horizontal Asymptote: Degrees are equal ( Zero: Set End Behavior: ✅ Summary
These occur when a factor appears in both the numerator and denominator and cancels out. A-1.7z
To master Topic 1.7, you must be able to solve for , determine horizontal behavior through degree comparison, and express these findings using formal limit notation . A "proper" review requires using formal limit notation
approaches infinity or negative infinity. This is determined by the degrees of the numerator ( ) and denominator ( The horizontal asymptote is If : The horizontal asymptote is (the ratio of leading coefficients). If approaches infinity or negative infinity
To review Topic 1.7 properly, you must be able to identify these features of a rational function These occur at the -values where the denominator (and does not cancel with the numerator).
: There is no horizontal asymptote (the function increases or decreases without bound). 3. Apply Limit Notation