The perimeter of a square can be expressed by the
function f(s) = 4s, where s is the vength of the side in
inches
How do the mathematical domain and reasonable domain
compare?
mathematical: 1x € R) reasonable: (x > 0)
mathematical: (x ER} reasonable x EW x > 0)
mathematical: (x ER} reasonable ex4)
mathematical: (x ER} reasonable: XE W x > 4)

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?