CPM Homework Help : A2C Problem 4-152

Remember function machines? Each of the following pictures shows how the same machine changes the given $x$ -value into a corresponding $f (x)$ value. Find 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:

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