Carmichael made a function machine. the inner workings
of the machine are visible in the diagram at right. what
will the output be in each of the following cases?
a.
if 3 is dropped in?
b.
if -4 is dropped in?
c.
if -22.872 is dropped in?

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.