Comparing Function Values at Specific Points

Hard Quantitative Comparisons Functions

Consider the function defined by the equation $$f(x) = x^3 - 6x^2 + 9x$$.

We are tasked with comparing the values of this function at two specific points: $$f(3)$$ and $$f(1)$$.

Calculate these two values to determine which one is greater:

$$f(3) > f(1)$$

$$f(3) < f(1)$$

$$f(3) = f(1)$$

$$f(3) = 0$$ and $$f(1) = 0$$

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