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 + 2) to move points on the screen
(7 points total)

a. What output does the rule give when the input is (-2, 0)? Show your work. (2 points)




b. What output does the rule give when the input is (3, -4)? Show your work. (2 points)


c. Is the rule a function? (1 point) Explain why it is or why it is not. (2 points)

Answer 1

As the mapping suggests, the first (x) coordinate is decreased by 3, and the second (y) coordinate is increased by 2. So, given the inputs, you have

$(-2,0) \mapsto (-2-3, 0+2) = (-5,2)$

$(3,-4) \mapsto (3-3, -4+2) = (0,-2)$

And yes, this rule is a function: it has a starting set (the domain), which is all possible couples $(x,y)$, and a landing set (the codomain), which is again composed by the couples $(x,y)$. Since for every point in the domain you have one and only one output, this rule is a function.

Answer 2

Answer:

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.

What output does the rule give when the input is ? Show your work.

What output does the rule give when the input is ? Show your work.

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

Step-by-step explanation: