Graphs of some members of a family of solutions for a first-order differential equation...

Graphs of some members of a family of solutions for a first-order differential equation dy/dx = f (x, y) are shown in FIGURE 2.R.5. The graph of an implicit solution G(x, y) = 0 that passes through the points (1, −1) and (−1, 3) is shown in red. With colored pencils, trace out the solution curves of the solutions y = y₁(x) and y = y₂(x) defined by the implicit solution such that y₁(1) = −1 and y₂(−1) = 3. Estimate the interval I on which each solution is defined.