Question

Sketch the graph of the given function. Then state the function’s domain and range. f(x)= (1/3)x+3

Answer 1

Domain={R} Range={R}

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

`f(x=0)=(1)/(3) *0+3=3\\f(x=3)=(1)/(3) *3+3=4\\`

Now you have defining 2 point

P1=(0,3)

P2=(3,4)

I added an image of the function sketched