Final answer:
The question pertains to plotting cubic functions on the xy-plane for different values of n (0, 1, and 2). The process involves substituting each n value into the given cubic expression and drawing the respective curves.
Step-by-step explanation:
The student is asking about how to plot a set of functions on the xy-plane for different values of n. Specifically, they would like to know how to draw the set An = {(x, x³ - (3 + n)x² + (2 + 3n)x - 2n), x ∈ R} when n = 0, n = 1, and n = 2. To do this, one would individually plot the cubic functions obtained by substituting the values of n into the given expression and then draw the corresponding curves on the xy-plane.
For each value of n, the following cubic equations would be plotted:
- For n = 0: y = x³ - 3x² + 2x
- For n = 1: y = x³ - 4x² + 5x - 2
- For n = 2: y = x³ - 5x² + 8x - 4
Each plot will show the shape and intersection points of its respective cubic function.