Question

1) Analyze the graph of the function f(x) = -(x +3)(x -4)2 as follows:a) Determine the end behavior: find the power function that the graph of f resembles forlarge values of |x|.power function _________________________________________(b) Find the x- and y-intercepts of the graph.x-intercepts ____________________________________________y-intercept _____________________________(c) Determine whether the graph crosses or touches the x-axis at each x-intercept.list x-intercepts below state whether graph crosses or touches at each (d) Use the information obtained in (a) - (c) to sketch a graph of f by hand. Label allintercepts .2) Find the asymptotes of the rational function g(x) = x + 33x + 1.vertical asymptote(s) ____________________horizontal or oblique asymptote ____________________