Answer:
(a) Applying the given rule to point (-2,1) we get:
[tex](-2,1)\rightarrow(-2+8,1-3)=(6,-2)\text{.}[/tex]
Therefore, the output of (-2,1) under the given rule is (6,-2).
(b) Applying the given rule to point (0,-5) we get:
[tex](0,-5)\rightarrow(0+8,-5-3)=(8,-8).[/tex]
Therefore, the output of (-2,1) under the given rule is (8,-8).
(c) The given rule is a translation, therefore it is a function.
