Let \(K(t) = \log _8(4-t) + 3\) with its natural domain.

The graph of \(z = K(t)\) is to the left right of the vertical asymptote \(t = 4\).

The domain of \(z = K(t)\) is

\[ \left ( \answer {-\infty }, \answer {4} \right ) \]

\(K(t)\) is an increasing decreasing function.

\[ \lim \limits _{t \to 4^-} K(t) = \answer {-\infty } \]
\[ \lim \limits _{t \to -\infty } K(t) = \answer {\infty } \]
2025-05-17 23:53:33