2. The table below describes features of a rational function. Use the information in the table to sketch the
graph. Ensure to include the asymptotes in your sketch.
(5 marks)
Vertical
Asymptote
Horizontal
Asymptote
x-intercept
y-intercept
Domain
Positive
intervals
Negative
intervals
1
1
x = 4
y = 0
\{xe\mathbb{R}|x \neq 4\}
\frac{1}{3}
\frac{1}{8}
\left(\frac{1}{3}, 4\right)
\left(-\infty, \frac{1}{3}\right) \cup \left(4, \infty\right)
x
y