Answer
The graph is shown below:
Work Step by Step
The constant term of the polynomial $f\left( x \right)$ is:
${{a}_{0}}=18$
This gives the possible factors of ${{a}_{0}}$:
$p=1,2,3,6,9$
The coefficient of the term with the highest power of the polynomial $f\left( x \right)$ is:
${{a}_{n}}=2$
This gives the possible factors of ${{a}_{n}}$:
$q=1,2$
Therefore, using the Rational Zero Theorem, the possible rational zeros of the functions are:
$r=\pm 1,\pm 2,\pm 3,\pm 6,\pm 9,\pm \frac{1}{2},\pm \frac{3}{2},\pm \frac{9}{2}$
Therefore, the rational zeros of the functions are $r=-3,-1,2,-\frac{3}{2}$
