62f435…: “Far from the wonderful manifold”

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Let

\[ z(A) = 4 \cdot \left (\frac {1}{3}\right )^{5A - 3} - 1 \]

What is the behavior of $z(A)$?

decreasing increasing

Let

\[ y(w) = 4 \cdot \left (\frac {1}{3}\right )^{-5w - 3} - 1 \]

What is the behavior of $y(w)$?

decreasing increasing

Let

\[ f(x) = -4 \cdot \left (\frac {1}{3}\right )^{5x - 3} - 1 \]

What is the behavior of $f(x)$?

decreasing increasing

Let

\[ g(t) = -4 \cdot \left (\frac {1}{3}\right )^{-5t - 3} - 1 \]

What is the behavior of $g(t)$?

decreasing increasing

2025-01-07 02:16:08