### Home > CC3MN > Chapter 4 > Lesson 4.1.1 > Problem4-11

4-11.

Use your pattern-finding techniques to fill in the missing entries for the table below.  Then find a rule for the pattern.

 $\text{IN}(x)$ $4$ $8$ $3$ $-2$ $-6$ $0$ $5$ $7$ $\text{OUT}(y)$ $17$ $65$ $10$ $5$ $1$ $26$

What is $4^2$?
What about $8^2$?
$3^2$?

$17=4^2+1$
$65=8^2+1$
$10=3^2+1$
$y=x^2+1$
 $\text{IN}(x)$ $4$ $8$ $3$ $-2$ $-6$ $0$ $5$ 7 $\text{OUT}(y)$ $17$ $65$ $10$ $5$ $\mathbf{37}$ $1$ $26$ $\mathbf{50}$