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{{ printedBook.courseTrack.name }} {{ printedBook.name }} Let's consider the given function.
$f(x)=x_{4}−3x_{2}+6x $
The degree of the polynomial is $4,$ which is an even number. For an even-degree polynomial both ends of the function will go in the same direction. So far the possible answers are III and IV. The function also has a positive leading coefficient of $1.$ Combined with an even degree, it implies that both ends of the function go upwards. Therefore, the answer is **III**.