How to solve this problem?

Question

Sketch the graph of the given function. State the domain of the function, identify any intercepts and test for symmetry.

f(x)=(x-2) /3

Answer 1

It's a line, so the domain is all reals;

range is also all reals

y = (1/3)x - 2/3

slope m=1/2

x-intercept: 0 = (1/3)x - 2/3

0 = x - 2

x = 2

y-intercept: (0,-2/3)