Table

Table 1: TABLE 1

Interval	Sign of ${x-1}$	Sign of ${x-2}$	Sign of $f^\prime (x) = 6( x-2) ( x-1)$	Conclusion
$( -\infty ,1)$	Negative $(-)$	Negative $(-)$	Positive $(+)$	$f$ is increasing
$(1,2)$	Positive $(+)$	Negative $(-)$	Negative $(-)$	$f$ is decreasing
$(2,\infty )$	Positive $(+)$	Positive $(+)$	Positive $(+)$	$f$ is increasing