Question

Alicia is writing the program for a video game. For one part of the game she uses the rule (, ) → ( − 2, + 5) 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 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

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

Explanation: