(a) state the domain of the function, (b) identify all intercepts, (c) find any vertical or slant asymptotes, and (d) plot additional solution points as needed to sketch the graph of the rational function.
1. f(x) = 2x3 / x2 + 1
2. f(x) = x2 + 1 / x + 1
3. f(x) = x2 + 3x - 10 / x + 2