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

5-113.

FUNCTIONS FROM TABLES, Part Two

Find a function,

*f*(*x*), that fits the table shown below. Homework Help ✎What kind of function does this appear to be? Find a possible equation.

How does the function change? Find the difference between the terms in

*f*(*x*), what kind of function is represented by these terms?Find

*f*(5). Are you sure you are correct?

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

Δ*y*

2 − 1 = 1

4 − 2 = 2

8 − 4 = 4

16 − 8 = 8

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

Also determine the next finite difference term.