Updates- Summative Exam 1 on Friday!
Bell Ringer
Extrema Which of the following matches the interval notation of [-1, 3]? -1 < x < 3 -1 > x > 3 -1 ≤ x ≤ 3 -1 ≥ x ≥ 3 none of the above
Solve the following: 6x3 - 6x2 = 0 0 -1 1 both a and c none of the above
Find the maxima or minima of the following: x2 - 4x + 5 on the interval [-1, 3] (2, -1) (2, 1) (0, 1) (2, 0) none of the above
Find any local (relative) maxima or minima of the following: 2x3 - 9x2 + 12x - 2 on the interval [-1, 3] (1, 3) (2, -2) (2, 2) both a and c none of the above
Find the maxima or minima of the following: f(x) = |x + 3| (3, 0) (0, 3) (-3, 0) (0, 3) - none of the above
Review- Prerequisites
- Interval Notation
- Maxima/Minima
- Zero Product Property
- Finding Minima/Maxima Graphically
Lesson- Extrema
- Definition
- Extreme Value Theorem
- Absolute vs. Relative Extrema
- Critical Numbers
- Testing for Critical Numbers
- Finding Extrema
- Checkpoints
- A - page 169 #4
- B - page 169 #6
- C - page 169 #18
- D - page 169 #22
- E - page 169 #34
- Summative Exam 1 Questions
Exit Ticket- Posted on the board at the end of the block.
| Lesson Objective(s)- How can derivatives be used to find the minimum and maximum values of a function?
Standard(s) - #1 - Make sense of problems and persevere in solving them
- #2 - Reason abstractly and quantitatively
- #3 - Construct viable arguments and critique the reasoning of others
- #5 - Use appropriate tools strategically
- #6 - Attend to precision
- #7 - Look for and make use of structure
- #8 - Look for and express regularity in repeated reasoning
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