Name
8. Given the equation y = (x + 1) - 4 graphed
below, answer the following. Each is 12 point
Vertex:
AOS:
Min or Max Value:
Increasing from:
Decreasing from:
Domain:
Range:
y-intercept:
X-intercepts:
End Behavior:
x →--00, f (x) →
x → 00, f(x) →

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?

Show your workcan a right triangle have this sides? *how to prove it without using the pythagorean theorema*

If you have 12 feet of string and you cut it into equal length of 5 inches each how much string will be left