Consider the function $f(x) = 2x^3 - 24x^2 - 120x - 3$, $-6 le x le 18$. The absolute minimum of $f(x)$ (on the given interval) is at x = , and the absolute minimum of $f(x)$ (on the given interval) is The absolute maximum of $f(x)$ (on the given interval) is at x = , and the absolute maximum of $f(x)$ (on the given interval) is (Note: If a function has two x values at which a maxima or minima occur, enter them both separated by a comma.)
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To do this, we use the Quadratic Formula: f(r) = 2r3 24r2 120x3 We can simplify this equation by factoring out the r terms: f(r) = 2r3 24r2 120 Show more…
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