Given the following table representing a functions f(x) and g(x):

Determine both the explicit and recursive formulas that represent f(x). What type of functions are the explicit formulas you found? Why do you know this? Compare the different representations (table, graph, explicit form, and recursive form) of your functions to others functions to justify your choices.

Skydiving is an exciting but dangerous sport. Many precautions are taken to ensure the safety of the skydivers. The basic fact underlying these precautions is that acceleration due to the force of gravity is 32 feet per second per second (written as 32 ft/sec2). Thus, each second that the skydiver is falling, her speed increases by 32 ft/sec (ignoring air resistance and other complicating factors; focus only on the force of gravity). Determine both the recursive and explicit formulas that model the total distance fallen by a skydiver after each second before her parachute opens? Describe the method(s) you used to find these formulas. What type of function is the explicit formula you found? Why do you know this? Compare the different representations (table, graph, explicit form, and recursive form) of your function to others functions to justify your choice. (See attached Problem Based Instructional Task and Lesson Plan)

Example Documents:

• Lesson Plan [ .doc ]
• Problem-Based Instructional Task [ .doc ]

Given this table of function f(x) determine the values of f(6), f(7), and f(10).

Write a recursive formula for f(x).

Below is a table that shows the distance, D(n), a skydiver has fallen during each second when jumping from a plane.

Determine the distance fallen during 6, 7, and 10 seconds. Write a recursive formula for the distance fallen during each second, D(n).