If r(x) = 2 – x2 and w(x) = x – 2, what is the range of (w circle r) (x)?

(negative infinity, 0 right-bracket

(negative infinity, 2 right-bracket

Left-bracket 0, infinity)

Left-bracket 2, infinity)

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?