A. You have two inequalities:
If you multiply the first inequality by positive number 4 (multiplying inequality by positive number doesn't change the inequality sign), then you get the inequality

B. You have two inequalities:
If you multiply the first inequality by negative number -4 (multiplying inequality by negative number changes the inequality sign), then you get the inequality

Answer: option D.
Basically, the inputs are the x values on the table. Plug those into the function. "Multiply the input by -1/2, then add 3" translates to -1/2(x) + 3.
If you would like me to actually put the answers down, then I'll put them in the comments after you request them.
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Answer:
x+9
Step-by-step explanation:
f(x) = x, going up 9
that is y=x, going up 9
if you wnat to go up, subtract 9 from y
y -9 = x
y=x+9
convert back to f(x)
f(x) = x+9
Answer:

Step-by-step explanation: