Concept Question 1 (Georgetown Day School)

Suppose that the graph below is that of f'.

1. State properties of f. Include intervals where f is increasing, decreasing, concave up, and concave down.
2. Sketch a possible graph of f. Why do many graphs exist?
3. Sketch f ".
4. Interpret these three graphs in terms of position, velocity, and acceleration. Devise a possible situation to model these graphs.

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Introduction

Contributors: D. Maresh/E. Eckel
Institution: Georgetown Day School
Target Audience: Precalculus/Physics students
7/30/99