i need help in business calculus questions

1-Sketch the graph of a function f(x) knowing that f(x) is decreasing and concave down on (, 2), f(x) is decreasing and concave up on (2, +).

2-Determine a rational function f(x) such that f(x) has a vertical asymptote at x = 2, a horizontal asymptote at y = 2 , and f(0) = 0. Sketch the graph of f(x).

3-Sketch the graph of the function f(x) = x^3 27x. List the coordinates of whereextrema or points of inflection occur. State where the function is increasing ordecreasing, as well as where it is concave up or concave down.