The mapping diagrams below show 4 different relationships between input and output values. How many of the mapping diagrams represent functions?
A
Output
B
Output
Input
Input
1
0
2
4
3-
4
с
Output
D
Output
Input
Input
0
3
4
3
2

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?

The functions below show the amount of money bella and sweet t had saved after earning money for doing chores. which description best compares the two functions?

Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2.