Answer
graph VI
Work Step by Step
The end behaviour of S(x) matches the end behavior of the leading term, $x^{4}.$
As $x\rightarrow-\infty,$
$x^{4}$ is a large positive number,
T(x)$\rightarrow$+$\infty$
(the graph rises up on the far left)
As $ x\rightarrow$+$\infty,$
$x^{4}$ is a large positive number,
T(x)$\rightarrow$+$\infty$
(the graph rises up on the far right)
Graphs that fit this behavior are II and VI.
To decide, calculate T(1)=1+2, (positive)
which makes our choice:
graph VI
