Please help me I don’t understand! Please also show your work!

Part A: completely factor f(x).

Part B: what are the X intercepts of the graph of f(x)? Show your work please.

Part C: the end behavior of the graph of f(x).Please explain.

Part D: what are the steps you would use to graph f(x)? Justify that you can use the answers obtained in part B in C to draw the graph. Please help me.

The function ƒ is defined by ƒ(x) = (x + 3)(x + 1). the graph of ƒ in the xy-plane is a parabola. which interval contains the x-coordinate of the vertex of the graph of ƒ?

Consider the function f(x)=-5x+3 what is f(-2)

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?