# 2 & 4 please :)

It’s for algebra 3

Give all possible names for the line shown. calculation tip: lines can be written with either point first.

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?

Show all work to identify the discontinuity and zero of the function f of x equals 6 x over quantity x squared minus 36