Graphing Polynomial Functions

7 September 2022
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10 test answers

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question
Which graph has the same end behavior as the graph of f(x) = -3x3 - x2 + 1?
answer
D
question
Which statement describes the graph of f(x) = -4x3 - 28x2 - 32x + 64?
answer
NOT The graph crosses the x axis at x = -4 and touches the x axis at x = 1.
question
At which root does the graph of f(x) = (x - 5)3(x + 2)2 touch the x axis?
answer
-2
question
Which statement describes the graph of f(x) = -x4 + 3x3 + 10x2?
answer
NOT The graph crosses the x axis at x = 0 and touches the x axis at x = 5 and x = -2.
question
A polynomial function has a root of -4 with multiplicity 4, a root of -1 with multiplicity 3, and a root of 5 with multiplicity 6. If the function has a positive leading coefficient and is of odd degree, which could be the graph of the function?
answer
B
question
Which of the following graphs could be the graph of the function mc017-1.jpg?
answer
A
question
At which root does the graph of f(x) = (x + 4)6(x + 7)5 cross the x axis?
answer
-7
question
Which of the following graphs could be the graph of the function f(x) = x4 + x3 - x2 - x?
answer
NOT c
question
Which of the following describes the zeroes of the graph of f(x) = 3x6 + 30x5 + 75x4?
answer
-5 with multiplicity 2 and 0 with multiplicity 4
question
Which of the following graphs could be the graph of the function mc018-1.jpg?
answer
c