Answer:
The function rule is:
[tex]y=-\frac{1}{2} x-1[/tex]
Step-by-step explanation:
We identify the output with the variable "y", the "input with the variable"x". Notice also that the "opposite of the input is "-x" (negative x), and therefore the words "the output is one less than half of the opposite of the input" translate into:
[tex]y=\frac{1}{2} (-x)-1\\y=-\frac{1}{2} x-1[/tex]