College Algebra & Trigonometry, 2018a

2.4. SOLUTION OF RATIONAL INEQUALITIES BY GRAPHING 107
15
10
5
−8 −6 −4 −2 2 4 6 8
−5
In the graph above, we can see the asymptote at x = 3 and the two roots at
x ≈ 1.414, −1.414.
The x values that make y>0 are −1.414 0 −8 −6 −4 −2 2 4 6 8
5
−5
The roots for this function are the x values that make the numerator equal zero:
x − 2=0, therefore x =2, and we can see this root on the graph.