Below is the graph of
\(y=f(x)\).
What is the domain of \(f\)?
\([-5, 0) \cup (0, 4)\) \([-5, 4)\) \((-\infty , \infty )\) \((-\infty , 0) \cup (0, \infty )\) \([-8, -3] \cup (1, 9)\)
Evaluate \(f(0) = \answer [tolerance=0.25]{-3}\)
Classify \(0\).
Discontinuity Singularity Neither
\(f\) is increasing on \((-5, 0)\).
True False
\(f\) is increasing on \([-5, 0]\).
True False
\(f\) is increasing on \((-5, 0]\).
True False
\(f\) is increasing on \([-5, 0)\).
True False
\(f\) is increasing on \((0, 4)\).
True False
\(f\) is increasing on \([0, 4]\).
True False
\(f\) is increasing on \([0, 4)\).
True False
There exists a real number, \(M\), such that \(f(x) < M\) for all \(k\).
True False
There exists a real number, \(M\), such that \(f(k) > M\) for all \(k\).
True False
For any \(\epsilon > 0\), there exists a domain number in the interval \((0-\epsilon , 0+\epsilon )\).
True False
For any \(\epsilon > 0\), there exists a domain number in the interval \((-5-\epsilon , -5+\epsilon )\).
True False
For any \(\epsilon > 0\), there exists a domain number, \(d\), in the interval \((0-\epsilon , 0+\epsilon )\) such that \(f(d) - f(0) > 1\).
True False
There exists an open interval, \(I\), such that \(2 < f(c) < 6\) for all \(c \in I\).
True False
There exists a domain number, \(c\), such that \(f(c) < -9\).
True False
How many zeros does \(f\) have?
\(0\) \(1\) \(2\) \(3\) \(4\)
\(f\) is an increasing function.
True False
\(f\) is continuous on the interval \((1, 3)\).
True False