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### Day 07 - Infinite Limits - 01.12.16

 Update Unit 1 Test on 1/22 For the function whose graph is shown below, which statements are false?      Find all vertical asymptotes of f(x) = x = –2, x = 2x = –2x = 0x = 2none of the aboveConsider the function given below. Which of the following appear to be true about f(x)?  I onlyI & III & IIIII & III I, II, and IIIFind the x-values (if any) at which the function is not continuous. Identify if they are removable.no points of discontinuityx = 9 (nonremovable), x = 7 (removable)x = 9 (removable), x = 7 (non-removable)no points of continuityx = 9 (not removable), x = 7 (non-removable)For , find and determine if is continuous at 30, Yes30, No29, Yes29, Nonot enough informationReview1.A. Limits (video 1) (video 2)How are limits found numerically and graphically? (video) (checkpoints)1.B. Finding Limits AlgebraicallyHow are limits found algebraically? (checkpoints)Nonexistent Limits (video)How can limits fail to exist?1.C. One-sided Limits (video) & Continuity (video)How are one-sided limits found and evaluated? (checkpoints)Lesson1.D. Infinite Limits (video)ChallengeCreate a limit example with a function whose limit is positive infinity and negative infinity.How are infinite limits calculated? (checkpoints)1.E. Limits at Infinity (video) Posted on the board at the end of the block.Homework1.D. Infinite Limits (video)1.E. Limits at Infinity (video) Help Request List Standard(s) APC.2Define 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 limitsAPC.3Use limits to define continuity and determine where a function is continuous or discontinuous.Includes:​continuity in terms of limitscontinuity 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