### Home > CALC > Chapter 5 > Lesson 5.3.1 > Problem 5-113

5-113.

FUNCTIONS FROM TABLES, Part Two

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

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

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

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? Find

. Are you sure you are correct?Also determine the next finite difference term.

0 | 1 |

1 | 2 |

2 | 4 |

3 | 9 |

4 | 16 |

: | : |