How do you graph y =1/(x+3)?

1 Answer
Aug 3, 2015

Solve the function for numbers around x=-3, since that is the domain function. Then connect the results you find, forming two curves.

Explanation:

This is a reciprocal function , so it has a domain restriction. Since no number can be divided by zero, we have to find the solution for x+3=0. That would be -3.
After that, we solve the function for numbers close to the restriction. The result should be two curves.
f(-6)= -0.333
f(-5)=-0.5
f(-4)=-1

f(-2)=1
f(-1)=0.5
f(0)=0.333
graph{1/(x+3) [-7, 1 -3, 3]}