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5-82.

FUNCTIONS FROM TABLES, Part One

Write the equation of the function that fits the points in the table shown below. What kind of function is it? Homework Help ✎

x

f (x)

0

1

1

5

2

9

3

13

.
.
.

.
.
​.

Compare the finite differences (the between consecutive values of f(x)). Are they increasing, decreasing or constant?
What type of graph fits their pattern?