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Multiplicity and Turning Points
Worksheet
Grade Level
Pre-Calculus
Pre-CAL.35 Multiplicity and Turning Points
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For f(x) = (x
2
+ 9)
2
(x - 2)
2
(x + 3)
3
, which answer is correct?
A
Degree 9; x = 2 touches; x = -3 crosses with flattening; at most 8 turning points.
B
Degree 5; x = 2 touches; x = -3 crosses; at most 4 turning points.
C
Degree 9; x = 2 crosses; x = -3 touches; at most 8 turning points.
D
Degree 7; x = 3 is an intercept from x
2
+ 9; at most 6 turning points.
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