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 are shown in Figure 2.R.5. The graphs of two implicit solutions, one that passes through the point (1, −1) and one that passes through (−1, 3), are shown in red. Reproduce the figure on a piece of paper. With colored pencils trace out the solution curves for the solutions y = y₁(x) and y = y₂(x) defined by the implicit solutions such that y₁(1)= −1 and y₂(−1) = 3, respectively. Estimate the intervals on which the solutions y = y₁(x) and y = y₂(x) are defined.