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)