For this case we have two study intervals. For x <1: In this interval we have the following equation: f (x) = x ^ 2 For x> 1: In this interval we have the following equation: f (x) = (1/3) x + 2/3 Answer: The graph represents the following function: f (x) = x ^ 2 (x <1) f (x) = (1/3) x + 2/3 (x> 1)