Question 8
2 pts 1 Details
Consider the sequence a: N ? N defined by a<sub>n</sub> = 4n ? 1. What is the domain and codomain of a<sub>n</sub>?
Rational numbers, rational numbers
Integers, integers
Real numbers, real numbers
Natural numbers, natural numbers
Question 9
2 pts 1 Details
Which best describes an onto function?
A function that assigns multiple outputs to every input
A function that assigns a single output to every input
A function that assigns one output to multiple inputs
A function that maps an input to every element of the codomain
Question 10
2 pts 1 Details
Define X = {a, b, c, d} and Y = {a, b, c, d, e, f}.
Let f: X ? Y be a function defined by f = {(x, z) | z ? X}.
Is f one to one?
Yes because every output has a corresponding input
Yes because no two inputs have the same output
No because an output does not have a corresponding input
No because two inputs have the same output
