How will the input of f(x + 11) affect the graph of f(x) = x? explain. the graph of f(x) = x will shift to the right 11 units because positive 11 is being added to x. the graph of f(x) = x will shift to the right 11 units because positive 11 is being subtracted from x. the graph of f(x) = x will shift to the left 11 units because negative 11 is being added to x. the graph of f(x) = x will shift to the left 11 units because negative 11 is being subtracted from x.

What is the factored form of x2 − 4x − 5? (x + 5)(x − 1) (x + 5)(x + 1) (x − 5)(x − 1) (x − 5)(x + 1)

What are the solutions of the system? solve by graphing. y = -x^2 - 3x + 2 y = -2x + 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?