Evaluating Function Values for Comparison

Very Hard Quantitative Comparisons Functions

Consider the function defined by:

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

We want to determine the relationship between the values $$ f(0) $$ and $$ f(3) $$.

The value of $$ f(0) $$ is greater than the value of $$ f(3) $$.

The value of $$ f(0) $$ is less than the value of $$ f(3) $$.

The values of $$ f(0) $$ and $$ f(3) $$ are equal.

The value of $$ f(0) $$ and the value of $$ f(3) $$ cannot be determined from the information given.

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