Math 3000 Quiz #8 Spring 2008

Name _________________________________

Let f: ℤ  ℤ be given by f(x) = 5x – 4. Determine whether or not f is a bijection.

Solution: This function is not a bijection because it is not onto. For instance, for f(x) = 0, x would have to be 4/5 which is not an integer and so, not in the domain of the function.