Consider the function, f) = 21 - 6
Match each transformation of Rx) with its description.
g(t) = 81 - 6
g(t) = 21 – 14
g(t) = 21 – 2
g() = 81 – 4
g(t) = 81 - 24
9(1) = 21 – 10
stretches fx) by a factor
of 4 away from the x-axis
>
shifts Ax) 4 units down
compresses fx) by a factor
of 4 toward the y-axis
shifts 1x) 4 units right

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?