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5-113.

FUNCTIONS FROM TABLES, Part Two

Find a function, , that fits the table shown below.

  1. What kind of function does this appear to be? Find a possible equation.

    Is it linear? Quadratic? Cubic? Exponential? Something else?

  1. How does the function change? Find the difference between the terms in , what kind of function is represented by these terms?

    What pattern do you see among the finite differences () pattern?

  2. Find . Are you sure you are correct?

    Also determine the next finite difference term.

0

1

1

2

2

4

3

9

4

16

:

: