### Day 06 - Continuity and One-sided Limits - 01.14.15

Update
• Go over previous day's Checkpoints

Bell Ringer
• N/A

Review

Lesson

Exit Ticket
• Posted on the board at the end of the block.
Lesson Objectives
• How is continuity of a function described?
• How are one-sided limits related to regular limits?

#### In-Class Help Requests

Standard(s)
• APC.2
• Define and apply the properties of limits of functions.
• Limits will be evaluated graphically and algebraically.
• Includes:
• ​limits of a constant
• ​limits of a sum, product, and quotient
• ​one-sided limits
• ​limits at infinity, infinite limits, and non-existent limits*
• APC.3
• Use limits to define continuity and determine where a function is continuous or discontinuous.
• Includes:
• ​continuity in terms of limits
• continuity at a point and over a closed interval
• ​application of the Intermediate Value Theorem and the Extreme Value Theorem
• ​geometric understanding and interpretation of continuity and discontinuity

Past Checkpoints