showing the working, sketch the graph of each of the following functions. Note: you do not need to consider f"(x), concavity and points of inflection (step 6). (a) f(x) = x2(x-2)(x+3) (b) f(x) = Note: The key features of a function to be considered are: 1. Domain; 2. x-intercept(s) and y-intercept; 3. Vertical and Horizontal asymptotes; 4. Symmetry; 5. First derivative to identify critical points and regions where the function is increasing/decreasing (you should indicate clearly whether a critical point is a local max/min or neither);

refer to image. please do C and D

Move the slider h so that the graph of y = x gets shifted to the right 3 units. Then type the new function, f(a) in the answer box 14 13 1 -4 -3 -2 -1 2. 3 f(x) = x? -1 h= 0.00 |-2 o ++1 1 Don't forget to shift the graph to the right. Using function notation, i.e. f(x)= , enter the function that results from the transformation. Question Help: D Video M Message instructor Submit Question

Using the graph of two functions f(x) and g(x) on the right, find: a.f(g(2)) b. g(f(−1)) c. g(g(0))

graph the function with a domain and viewpoint that reveal all the important aspects of the function. f(x,y)=x2+y2+4x-6y

Can someone please help? Thank you.