The function f is given by f(x)=x2−2x . Which statement is true about the graph of f?

The graph has a y-intercept at (2,0).

The coordinates of the vertex are (1,1).

The graph of the function opens downward.

The x-intercepts are at (0,0) and (2,0).
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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?