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15 questions
The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.
Determine the end behavior of this equation.
f(x) = -x5 - 4x +2
As x goes to negative infinity, y goes to positive infinity. As x goes to positive infinity, y goes to positive infinity.
As x goes to negative infinity, y goes to positive infinity. As x goes to positive infinity, y goes to negative infinity.
As x goes to negative infinity, y goes to negative infinity. As x goes to positive infinity, y goes to positive infinity.
As x goes to negative infinity, y goes to negative infinity. As x goes to positive infinity, y goes to negative infinity.
The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = -2x2 + 3x
As x goes to negative infinity, y goes to positive infinity. As x goes to positive infinity, y goes to positive infinity.
As x goes to negative infinity, y goes to positive infinity. As x goes to positive infinity, y goes to negative infinity.
As x goes to negative infinity, y goes to negative infinity. As x goes to positive infinity, y goes to positive infinity.
As x goes to negative infinity, y goes to negative infinity. As x goes to positive infinity, y goes to negative infinity.
What is the end behavior for f(x)= 3x5-5x2
A
B
C
D
What is the maximum number of turning points the following function can have:
f(x) = 5x8-10x6-4x4+24?
9
8
7
6
Identify the function that belongs to the following graph.
f(x)=(x+2)(x+3)(x-1)
f(x)=(x+1)(x-4)(x-2)
f(x)=(x+2)(x-2)(x+1)
f(x)=(x-3)(x-2)(x+1)
Select the polynomial whose zeros and degree are given by:
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4 Degree: 7
(x + 5)3(x - 9)2(x + 2)(x - 4)
(x + 5)3(x - 9)2(x + 2)7(x - 4)7
(x + 5)3(x - 9)2(x + 2)
(x + 5)(x - 9)(x + 2)(x - 4)
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