CPM Homework Help : INT2 Problem 9-29

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

Function Machine. Input: 10, Rule: f of x. Output: 99.

Function Machine. Input: 2, Rule: f of x. Output: 3.

Function Machine. Input: negative 3, Rule: f of x. Output: 8.

Function Machine. Input: 0, Rule: f of x. Output: negative 1.

Hint:

Copy and complete the table for the function.

$x$	$10$	$2$	$-3$
$f(x)$	$99$	$3$

Answer:

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