Comparison of Function Values

Very Hard Quantitative Comparisons Functions

Let the function $$f(x)$$ be defined as:

$$ f(x) = 2x^3 - 6x^2 + 4 $$

We want to compare the value of $$ f(1) $$ with the value of $$ f(2) $$. Which of the following statements is true regarding their values?

$$ f(1) > f(2) $$

$$ f(1) = f(2) $$

$$ f(1) < f(2) $$

$$ f(1) $$ and $$ f(2) $$ cannot be compared.

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