I need help with these questions

4. Analyze the graph of f', then list all intervals where f is increasing or decreasing. YA A 2+ f'(x ) 5 -4 -3 o 2 3 4 5 X N - 3 - - 4- -5+ 5. Analyze the graph of f', then list all intervals where: A) f is increasing and decreasing. B) Local extrema are located. NS 1- f' (x ) -2 15-1 -0.5 0 0.5 1 X -2+ 6. Analyze the graph of f', then list all POI(s) and intervals of concavity. f' ( x ) / -1 -0.5 0 0.5 1 1.5 2 X -14 - 2+1. Provide the equation of ALL asymptotes for the following function: 10 B) Vertical asymptote(s): 2 1 X A) Horizontal asymptote(s): -5- -10- 2. Find the horizontal and vertical asymptotes for the following: A) f (x) = 1-x2 B) f(x) =2-+3 x2 + 1 3. Evaluate the following limit for the given functions: A) lim - x +6 2x2 +3x-5 x -00 x2+5x-6 B) lim X -00 3x2 - 7x+9 C) lim : 5x4+3 D) lim V9x4+4x2 X -+00 7x2+x X -+ 00 x 2 - x4. Determine the end behavior for the following functions: A) f(x) =-3x4 B) g(x) = 3ex-4 5ex+2 C) h(x) = - 4x Vx2-1 D) f (xx ) = (x+ 3)4(x - 1)3(xx+5) 5. Find the equation of the oblique asymptote for the following: A) f (x) = = 3x3 - 2x+ 1 2x2-4 B) g(x) =-6x*+2x3+3 2x3-x6. Sketch the graph of the function that satisfies all of the given conditions: f' ( 0 ) = f ' ( 2 ) = f' ( 4 ) = 0, f' ( x) > 0 if x 4, f"(x) > 0 if 1 3 7. Sketch a graph of f(x) = x3 - 3x2 + 4 labeling everything on the side