AP Calculus Project 4 - Curve Sketching
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1 AP Calculus Project 4 - Curve Sketching Name You will be in a group of 2 to 4. You will be given a series of s that must be accurately sketched with attention paid to roots, extrema, critical points, inflection points, and end behavior. Grading: Use of class time: 10 points Example Curve: 10 points Guided Practice Curve: 10 points Grab Bag Curve 1 (given f(x)): 10 points Grab Bag Curve 2 (given fʼ(x) & f (x)): 10 points Detail of diagrams: 20 points Explanation of Calculus: 20 points Quality of writing (complete sentences) 10 points Total: 100 points
2 Part 1 Part 2 Part 3 Part 4 Part 5 Part 6
3 Curve Sketching part 1 Sketch a complete graph without the calculator. Original #1 f(x) = 3x 2 x 1 Find any red flags in the domain Find the first first using occur
4 Curve Sketching part 2 Sketch a complete graph without the calculator. Original #2 f(x) = x 3 6x 2 +9x + 1 Find any red flags in the domain Find the first first using occur
5 Curve Sketching part 3 Sketch a complete graph without the calculator. Original #3 f(x) = 2x 4 + 4x 3 Find any red flags in the domain Find the first first using occur
6 Curve Sketching part 4 Original #4 Sketch a complete graph without the calculator. f (x) = 1 x 2 Find any red flags in the! domain Find the first first using occur
7 Curve Sketching part 5 Original #8 Sketch a complete graph without the calculator. f (x) = 6 x 2 " 6 x Find any red flags in the! domain Find the first first using occur
8 Curve Sketching 6 Original #9 Sketch a complete graph without the calculator. f(x) = sin x + cos x from x = 0 to 2π Find any red flags in the domain Find the first first using occur
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