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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?

 $x$ $f \left(x\right)$ $0$ $1$ $1$ $5$ $2$ $9$ $3$ $13$ . . . . . ​.

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