aa26a4…: “Far from a fair gulf”

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Here is the formula and graph of $V$.

\[ V(h) = \begin{cases} -2h-3 & \text { if } [-6, -2] \\ -(h+3)(h-3) & \text { if } (-2, 4] \\ \frac {7h}{4} - 8 & \text { if } (4,6) \end{cases} \]

Suppose the function $p$ is defined through the equation $f(x) = -V(x)+3$.

What is the induced range of $f$?

\[ \left [ \answer {-6}, \answer {10} \right ] \]

2025-05-17 21:40:57