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Wladis, BMCC/CUNY Project 3: Curve Sketching For this project, the example, which you should use as a model for your own answers, have been handwritten – see attached page! For each of the following problems, graph (), including: the correct domain and range; any intercepts; maximums or minimums; holes or cusps; horizontal, vertical or slant asymptotes; and correct curvature. Rotate through the rolls of Prover, Explainer, and Checker, so that each student plays a different role for each problem. The Prover should draw the graph step-by-step including doing all calculations needed to construct the graph, the Explainer should explain each step, and the Checker should check each step (using a different method than the Prover and Explainer if possible). 1. ()= 3 2 −9 2. ()=23 2 3 3. ()= 2 −1 2 +25

Wladis, BMCC/CUNY Project 3: Curve Sketching For this ... · Project 3: Curve Sketching For this project, the example, which you should use as a model for your own answers, have been

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Page 1: Wladis, BMCC/CUNY Project 3: Curve Sketching For this ... · Project 3: Curve Sketching For this project, the example, which you should use as a model for your own answers, have been

Wladis, BMCC/CUNY Project 3: Curve Sketching

For this project, the example, which you should use as a model for your own answers, have been handwritten – see attached page!

For each of the following problems, graph 𝑓(𝑥), including: the correct domain and range; any intercepts; maximums or minimums; holes or cusps; horizontal, vertical or slant asymptotes; and correct curvature. Rotate through the rolls of Prover, Explainer, and Checker, so that each student plays a different role for each problem. The Prover should draw the graph step-by-step including doing all calculations needed to construct the graph, the Explainer should explain each step, and the Checker should check each step (using a different method than the Prover and Explainer if possible).

1. 𝑓(𝑥) = 𝑥3

𝑥2−9

2. 𝑓(𝑥) = 2𝑥 − 3𝑥23

3. 𝑓(𝑥) = 𝑥2−1𝑥2+25

Page 2: Wladis, BMCC/CUNY Project 3: Curve Sketching For this ... · Project 3: Curve Sketching For this project, the example, which you should use as a model for your own answers, have been

Due date:MAT 301, Mathematics Dept, BMCC/CUNY

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Page 3: Wladis, BMCC/CUNY Project 3: Curve Sketching For this ... · Project 3: Curve Sketching For this project, the example, which you should use as a model for your own answers, have been

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Mathematics , BMCC/CUNY

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Page 7 of 16

Page 4: Wladis, BMCC/CUNY Project 3: Curve Sketching For this ... · Project 3: Curve Sketching For this project, the example, which you should use as a model for your own answers, have been

MAT 301, Mathematics Dept, BMCC/CUNY Due date:

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Page 8 of 16