Question

identify the characteristics
1. Interval(s) where f(x)>0
2. Intervals where f(x)<0
with the rational function f(x)=(1)/(x-2)

Answer 1

If you graph 1/(x-2) you'll get a graph like this: where f(x) (or how far the line is from the y-axis) will be above the y-axis from (2, infinity) and below the y-axis from (-infinity, 2)