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On what interval is the function:

$$f( x ) ={ 2x }^{ 2 }-9x+7$$

...increasing?

A

$\left( -\infty , \cfrac{9}{4} \right] $

B

$\left[ \cfrac{9}{4}, \infty \right) $

C

$\left ( -\infty, 1 \right) \cup \left [ \cfrac {7}{2}, \infty \right) $

D

$\left[1, \cfrac{7}{2} \right] $

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