10. Graph the function f(x)-2-2 using graphing techniques showing all the steps. Find the domain, range and the equation of the horizontal asymptote of f(x).

hello please help me with this problem: Consider the function f(x) = x4 − 4x3 + 10. Your goal is to graph this function without the use of a calculator. Show all work.  a) Calculate the domain, y-intercept(s) and any asymptotes of f(x).(CALCULA TE) b) Locate the intervals of increase and decrease, and the intervals of concavity of f(x) (ANALYZE) c) Use the information from (b) to locate any local maxima or minima, and any inflection points of f(x). Justify the local extrema with either the first or second derivative test. (INTERPRET) d) Graph f(x). Be sure to label and show a scale on both axes. (REPRESENT)

Q-1: Follow the "Four-Step method of graphing a piecewise defined function" to graph the f(x). [Refer to the canvas notes for these steps] Label the coordinates of the end points of each piece and indicate if the point is to be included or excluded from the curve by drawing either a solid circle [if point is included in the graph] and an open circle [if the point is not included in the graph] about the end point. f(x) = {x²) ) if if x 2.