Part A. Based on the shape of the graph above, describe one or more functions you can think of to model the data. (Hint: Think of the graph as multiple parts.) Picture 1

Part B. Here’s a different way to partition the same function. Write a description of the partitioned function using known function types. Include function transformations in your description. Picture 2

Part C. Now try this one. Write a description of the partitioned function using known function types, including transformations. Picture 3

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.