Which statements describe key features of function g if g(x) = f(x + 2)? y-intercept at (0,1)
horizontal asymptote of y = 2
domain of {x|- infinity < x < infinity}
y-intercept at (0,4)
horizontal asymptote of y=0

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?