Answer:
Domain={R} Range={R}
Step-by-step explanation:
The function is a lineal function and every lineal function´s domain and rage is the set real numbers.
In order to sketch the function you only need to know 2 points od the function and unite them with a straight line. You can know them replacing x for a number and calculating f(x). I did it for x=0 and x=3
[tex]f(x=0)=\frac{1}{3} *0+3=3\\f(x=3)=\frac{1}{3} *3+3=4\\[/tex]
Now you have defining 2 point
P1=(0,3)
P2=(3,4)
I added an image of the function sketched
