CPM Homework Help : AC Problem 4-7

Use your pattern-finding techniques to fill in the missing entries for the table below. Then find a rule for the pattern. 4-7 HW eTool (Desmos).

IN ( $x$ )	4	8	3	−2	−6	0	5	7
OUT ( $y$ )	17	65	10	5		1	26

Hint:

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

More Help:

$17=4^2+1$
$65=8^2+1$
$10=3^2+1$
Can you follow the pattern?

Answer:

$\left. \begin{array} { | c | c | c | c | c | c | c | c | } \hline \text { IN (x) } & { 4 } & { 8 } & { 3 } & { - 2 } & { - 6 } & { 0 } & { 5 } & { 7 } \\ \hline \text { OUT (y) } & { 17 } & { 65 } & { 10 } & { 5 } & { 37 } & { 1 } & { 26 } & { 50 } \\ \hline \end{array} \right.$

Use the eTool below to help you find a rule for the pattern.
Click the link at right for the full version of the eTool: AC 4-7 HW eTool