What is the continuity of this graph?
Continuous
Where is the graph constant?
( -4, -2 )
Determine all asymptotes.
Horizontal asymptote: y = 0 Vertical Asymptote: x = 3
What are the bounds of the function?
Lower bound at y = -3
Label any discontinuities.
Jump: x = 2 Removable: x = -7, -3 Infinite: x = 4
What is the upper bound?
y = 4
What are the relative/absolute maximums?
Relative: (6, 2) Absolute: (2, 4)
What is the end behavior?
lim x-> ∞ f(x) = ∞ and lim x-> -∞ f(x) = ∞
What are the relative and absolute minimums?
Relative: (4, 0) Absolute: (-6, -2)
Where is the lower bound?
y = -6
What are the relative and absolute maximums?
Relative: ( 0, 3 ) Absolute: None
What is the range of this function?
[ -2, 4 ]
What is the symmetry of the function?
Even
What are the absolute or relative minimums?
Relative: ( -2, -3 ) and ( 2, -3 ) Absolute: None
Determine all discontinuities.
Removable: x = 2 Jump: x = 0, 3 Infinite: x = 4
What are the Domain and Range of this function?
Domain: (-∞, ∞) Range: [ -3, ∞ )
Where is this graph increasing?
(-6, -4) U ( -2, 2 ) U ( 4, 6)
What is the domain of this function?
[ -6, 6 ]
Where is the graph decreasing?
( 2, 4 )