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.

First Function Machine: Input: 10, Rule: f of x. Output: 101.

Second Function Machine: Input: 2, Rule: f of x. Output: 5.

Third Function Machine: Input: 3, Rule: f of x. Output: 10.

Fourth Function Machine: 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:

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