True or false? : to make a sketch of any rational function whose numerator is a number and whose denominator is a factored polynomial, use the following rule of thumb.

the function has a vertical asymptote at every x-value where its denominator is zero, and the function is always negative between two asymptotes.

Determine whether the set of whole numbers is closed under addition. explain why the set is or is not closed. give an example.

If (x-2) 2= 49, then x could be a. -9 b. -7 c.- 2 d. 5 e.9

1- 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.2- 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 the first question?