1. Analyze f(x). Find the domain of f. Find the intercepts. Find asymptotes. 2. Analyze f'(x). Find the [Select] for f' and the [Select] f. Construct a sign chart for f'(x) to determine the intervals on which fis [Select] 3. Analyze f" (x). Find the [Select] Find [Select] of f. > for f(x). Construct a sign chart for f" (x), , and find the determine the intervals on which f is [Select] [Select] ✓ of f. of 4. Sketch the graph of f. Draw asymptotes and locate intercepts, local maxima and minima, and inflection points. Sketch in what you know from steps 1-3. Plot additional points as needed and complete the sketch.

Consider the following functions Step 3 of 4 Find (2X) Answer new 5 Points /=(-2,41 (1.-1). (4,4)) and x= [(0, 11. (1.2)) (x1) =

5. Find the domain of the function: y = In X-4/

4(a). Define the zeroth divided difference by f[x,]= f (x; ). Write the expressions for the first divided difference, the second divided difference, and the n" divided difference for f..

Consider the function f and its derivatives below. f'(x) = -2(2³-32) (³+64)² 6x²(³-128) (3+64)3 f"(x) = f(x) = 3 +64 Fill in the table below. For answers that require intervals, use interval notation and write your answer as a comma-separated list of intervals that are as inclusive as possible. Write "NONE" as your answer, if appropriate. Your answers must be exact or accurate to two decimal places. 2 1.26 38=2 4 1.59 16 2.51 √32 3.17 equations of vertical asymptote(s) of f: equations of horizontal asymptote(s) of f: f is decreasing on: f is increasing on: z-coordinate(s) of each local minimum of f: z-coordinate(s) of each local maximum of f: f is concave down on: f is concave up on: 01 x-coordinate(s) of each inflection point of f: √64=4 128 5.04 Sin den Ja

Draw the graph of any function f (x) that passes through the point (3, 2).