2. Alicia is writing the program for a video game. For one part of the game she uses the rule to move points on the screen.

(a) What output does the rule give when the input is -6,0 ? Show your work.

(b) What output does the rule give when the input is 3, -4 ? Show your work.

(c) Is the rule a function? Explain why it is or why it is not

**Answer:**

__Question__

Alicia is writing the program for a video game. For one part of the game she uses the rule (x, y) → (x - 3,y + 4) to move points on the screen.

(a) What output does the rule give when the input is (-6, 0)?

Show your work.

(b) What output does the rule give when the input is (3, -4)?

Show your work.

(c) Is the rule a function? Explain why it is or why it is not.

__Solution__

(a) Input (-6, 0) → Output (-6 - 3, 0 + 4) = (-9, 4)

(b) Input (3, -4) → Output (3 - 3, -4 + 4) = (0, 0)

(c) The rule is a one-to-one function as each value in the range (y-values) corresponds to exactly one value in the domain (x-values).

**Answer:**

(x-3,y+4) is the rule

a. -6, 0 input. This would equal (-6)-3 for x and (0)+4 for y. Answer: -9, 4

b. 3, -4 input. This would equal (3)-4 for x and (-4)+4 for y. Answer: -1, 0

c. The rule is a function because each input only has one output

Is the rule stated? Can't answer without it

(x,y) (arrow) (x-3,y+4) sorry!!