CPM Homework Help : INT3 Problem 2-98

Each of the following pictures shows how the same machine changes the given $x$ -value into a corresponding $f(x)$ -value. What is the equation for this machine?

4 Function Machines as follows: First: Input: 10, Rule: f of x. Output: 101. Second: Input: 2, Rule: f of x. Output: 5. Third: Input: 3, Rule: f of x. Output: 10. Fourth: Input: 5, Rule: f of x. Output: 26.

Hint:

Copy and complete the table for the function.

$x$	$10$	$2$	$3$
$f\left(x\right)$	$101$	$5$

Answer:

$f(x)=x^2+1$