Your teacher will give you a set of four function machines. Your team's job is to get a specific
output by putting those machines in a particular order so that one machine's output becomes
the next machine's input. As you work, discuss what you know about the kind of output each
function produces to help you arrange the machines in an appropriate order. The four
functions are reprinted below.
I
f(x)=√x
h(x) = 2² - 7
g(x) = -(x - 2)²
k(x) = -1
Desmos
In what order should you stack the machines so that when 6 is dropped into the first machine, and all four
machines have had their effect, the last machine's output is 11?