Graphing Polynomial Functions Answers
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1
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Which statement describes the graph of f(x) = –4x3 – 28x2 – 32x + 64?
A
The graph crosses the x-axis at x = 4 and touches the x-axis at x = –1.B
The graph touches the x-axis at x = 4 and crosses the x-axis at x = –1.C
The graph crosses the x-axis at x = –4 and touches the x-axis at x = 1.D
The graph touches the x-axis at x = –4 and crosses the x-axis at x = 1.2
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Which of the following graphs could be the graph of the function ?
A
Option
B
Option
C
Option
D
Option
3
Which of the following describes the zeroes of the graph of f(x) = 3x6 + 30x5 + 75x4?
A
–5 with multiplicity 2 and with multiplicity 4
B
5 with multiplicity 2 and with multiplicity 4
C
–5 with multiplicity 2 and 0 with multiplicity 4D
5 with multiplicity 2 and 0 with multiplicity 45
Which of the following graphs could be the graph of the function f(x) = x4 + x3 – x2 – x?
A
Option
B
Option
C
Option
D
Option
6
A polynomial function has a root of –5 with multiplicity 3, a root of 1 with multiplicity 2, and a root of 3 with multiplicity 7. If the function has a negative leading coefficient and is of even degree, which statement about the graph is true?
A
The graph of the function is positive on (, –5).
B
The graph of the function is negative on (–5, 3).C
The graph of the function is positive on (, 1).
D
The graph of the function is negative on (3, ).
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