**Concept Question 1 (Georgetown Day
School)**

Suppose that the graph below is that of *f*'.

- State properties of
*f*. Include intervals where*f*is increasing, decreasing, concave up, and concave down. - Sketch a possible graph of
*f*. Why do many graphs exist? - Sketch
*f "*. - 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