b32e20…: “Toward the wonderful mountain”

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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 $T$ is defined through the equation $T(k) = V(k-2)$.

What is the induced domain of $T$?

\[ \left [ \answer {-4}, \answer {0} \right ] \cup \left ( \answer {0}, \answer {6} \right ] \cup \left ( \answer {6}, \answer {8} \right ) \]

2025-05-17 21:28:58