For the function  whose graph is shown below, which statements are false?  
Find all vertical asymptotes of f(x) = x = –2, x = 2 x = –2 x = 0 x = 2 none of the above
Consider the function  given below. Which of the following appear to be true about f(x)?   I only I & II I & III II & III I, II, and III
Find the x-values (if any) at which the function  is not continuous. Identify if they are removable. no points of discontinuity x = 9 (nonremovable), x = 7 (removable) x = 9 (removable), x = 7 (non-removable) no points of continuity x = 9 (not removable), x = 7 (non-removable)
For  , find  and determine if  is continuous at  30, Yes 30, No 29, Yes 29, No - not enough information
Review - 1.A. Limits (video 1) (video 2)
- 1.B. Finding Limits Algebraically
- How 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)
Lesson - 1.D. Infinite Limits (video)
- Challenge
- Create a limit example with a function whose limit is positive infinity and negative infinity.
- 1.E. Limits at Infinity (video)
- Posted on the board at the end of the block.
Homework- 1.D. Infinite Limits (video)
- 1.E. Limits at Infinity (video)
|
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
|
|
