1. "Give an example of a function that is defined on the set ofintegers that is not a one-to-one function."
Keep in mind that the above domain must be the set of integers.Identify what your codomain is, too.
2. "Give an example of a function that is defined on the set ofrational numbers that is not an onto function."
The above domain must be the set of rational numbers. Identify whatyour codomain is, too. This is especially important when explainingwhy a function is not onto.
3. "Give an example of a function defined on the real numbers thatis a one-to-one correspondence."
The above domain must be the set of real numbers. Identify whatyour codomain is, too.
