### Home > APCALC > Chapter 5 > Lesson 5.2.3 > Problem5-82

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?

$x$

$f \left(x\right)$

$0$

$1$

$1$

$5$

$2$

$9$

$3$

$13$

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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?