e2b689…: “After a frowning matrix”

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Let $f(x)$ be a quadratic function with $f'(x) = 8(x-3)$.

$f'(x) = 0$ at $x = \answer {3}$.

$f'(x) < 0$ on $\left ( \answer {-\infty }, \answer {3} \right )$.

$f'(x) > 0$ on $\left ( \answer {3}, \answer {\infty } \right )$.

$f(x)$ decreases on $\left ( \answer {-\infty }, \answer {3} \right )$.

$f(x)$ increases on $\left ( \answer {3}, \answer {\infty } \right )$.

The minimum of $f(x)$ is located at $x = \answer {3}$.

2025-05-18 05:27:45