Comparing Function Values at Specific Points

Medium Quantitative Comparisons Functions

Consider the function defined by:

$$ f(x) = x^3 - 6x^2 + 9x $$

We need to compare the values of $$ f(2) $$ and $$ f(3) $$.

The value of $$ f(2) $$ is greater than the value of $$ f(3) $$.

The value of $$ f(2) $$ is less than the value of $$ f(3) $$.

The value of $$ f(2) $$ is equal to the value of $$ f(3) $$.

The value of $$ f(2) $$ and $$ f(3) $$ cannot be determined.

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