9000070402
Level:
A
Given the function \(f(x)= x^{2} - 2x - 8\), find
the intervals where \(f\)
is a decreasing function.
\(\left (-\infty ,1\right )\)
\(\left (-\infty ,8\right )\)
\(\left (-\infty ,2\right )\)
\(\left (-\infty ,4\right )\)
Function Behavior
9000070403
Level:
A
Given function \(f(x) = -x^{2} + 2x + 3\), find
the intervals where \(f\)
is an increasing function.
\(\left (-\infty ,1\right )\)
\(\left (-\infty ,2\right )\)
\(\left (-\infty ,3\right )\)
\(\left (-\infty ,6\right )\)
9000070404
Level:
A
Given function \(f(x)= -x^{2} + 4x + 12\), find
the intervals where \(f\)
is a decreasing function.
\(\left (2,\infty \right )\)
\(\left (1,\infty \right )\)
\(\left (-4,\infty \right )\)
\(\left (-6,\infty \right )\)
9000070405
Level:
A
Given function \(f(x)= x^{3} + 3x^{2} - 24x + 5\), find
the intervals where \(f\)
is a decreasing function.
\(\left (-4,2\right )\)
\(\left (-3,5\right )\)
\(\left (-3,3\right )\)
\(\left (-5,1\right )\)
9000070406
Level:
A
Given function \(f(x)= x^{3} + 6x^{2} - 15x + 7\), find
the intervals where \(f\)
is an increasing function.
\(\left (-\infty ,-5\right )\)
\(\left (-\infty ,-3\right )\)
\(\left (-1,\infty \right )\)
\(\left (-3,\infty \right )\)
9000070407
Level:
A
Given the function \(f(x) = -x^{3} + 3x^{2} + 9x - 1\), find
the intervals where \(f\)
is a decreasing function.
\(\left (3,\infty \right )\)
\(\left (-\infty ,1\right )\)
\(\left (-1,3\right )\)
\(\left (1,\infty \right )\)
9000070408
Level:
A
Given the function \(f(x) = -x^{3} + 3x^{2} + 45x - 12\), find
the intervals where \(f\)
is an increasing function.
\(\left (-3,5\right )\)
\(\left (-\infty ,-3\right )\)
\(\left (5,\infty \right )\)
\(\left (-12,45\right )\)
9000062406
Level:
C
Identify an asymptote to the graph of the following function.
\[
f(x) = \frac{x^{2} + 4}
{x}
\]
\(y = x\)
\(y = x + 1\)
\(y = x - 1\)
\(y = -x\)