Below is the graph of \(y=W(k)\).

What is the domain of \(W\)?

\([-9, 2) \cup (-2, 9]\) \([-9, 9]\) \((-\infty , \infty )\) \((-\infty , 3) \cup (3, \infty )\)

Evaluate \(W(3) = \answer [tolerance=0.25]{5}\)

Classify \(3\).

Discontinuity Singularity Neither

\(W\) is decreasing on \((-\infty , 3)\).

True False

\(W\) is decreasing on \((3, \infty )\).

True False

\(W\) is decreasing on \((-\infty , 3]\).

True False

\(W\) is decreasing on \([3, \infty )\).

True False

There exists a real number, \(M\), such that \(W(k) < M\) for all \(k\).

True False

There exists a real number, \(M\), such that \(W(k) > M\) for all \(k\).

True False

The horizontal line \(y = 3\) could be an asymptote for the graph of \(y = W(k)\).

True False

For any \(\epsilon > 0\), there exists a domain number in the interval \((-9-\epsilon , -9+\epsilon )\).

True False

\(W\) is decreasing on the interval \((-300, -500)\).

True False
\[ \lim \limits _{k \to \infty } W(k) = -\infty \]
True False
\[ \lim \limits _{k \to -\infty } W(k) = \infty \]
True False
2025-05-17 23:00:02