Below is the graph of
\(y=f(t)\).
What is the domain of \(f\)?
\[ \left [ \answer [tolerance=0.25]{-4}, \answer [tolerance=0.25]{6} \right ] \]
Evaluate \(f(-4) = \answer [tolerance=0.25]{-1}\)
Classify \(4\).
Discontinuity Singularity Neither
\(-1\) is a local maximum of \(f\) occuring at \(-4\).
True False
Evaluate \(f(6) = \answer [tolerance=0.25]{2}\)
Classify \(6\).
Discontinuity Singularity Neither
\(2\) is a local minimum of \(f\) occuring at \(6\).
True False
\(g\) is increasing on \((-4, 6)\).
True False
\(g\) is increasing on \([-4, 6]\).
True False
\(g\) is increasing on \([-4, 6)\).
True False
\(g\) is increasing on \((-4, 6]\).
True False
There exists a real number, \(M\), such that \(f(t) < M\) for all \(t\).
True False
\(f\) has a global maximum.
True False
There exists a real number, \(M\), such that \(f(t) > M\) for all \(t\).
True False
\(f\) has a global minimum.
True False
For every \(\epsilon > 0\), the interval \((-4-\epsilon , -4+\epsilon )\) contains a domain number.
True False
For every \(\epsilon > 0\), the interval \((-4-\epsilon , -4+\epsilon )\) contains a domain number, \(d\), such that \(f(d) - f(-4) > 1\).
True False
For every \(\epsilon > 0\), the interval \((6-\epsilon , 6+\epsilon )\) contains a domain number.
True False
For every \(\epsilon > 0\), the interval \((6-\epsilon , 6+\epsilon )\) contains a domain number, \(d\), such that \(f(d) - f(6) > 1\).
True False