Lesson 6: 2.6 Limits at Infinity: Horizontal Asymptotes
Duration of Days: 3
Lesson Objective
Students will understand end-behavior of graphs by evaluating limits as x approaches infinity and negative infinity, and will be able to find all vertical and horizontal asymptotes of a function.
1. What does it mean to take a limit as x approaches infinity (or negative infinity)?
2. How do we solve for vertical asymptotes?
3. How do we solve for horizontal asymptotes?
- limits at infinity
- vertical asymptotes
- horizontal asymptotes
(Limits at Infinity)
Limits at Infinity:
DOK levels 1-3
- students may confuse methods to find horizontal versus vertical asymptotes
Homogeneous grouping and whole-class discussion
section assessment
Problems assigned from book