AnswersAdvanced Algebra Concepts and ConnectionsModeling with Polynomial Functions: Polynomial Functions

Modeling with Polynomial Functions: Polynomial Functions — Test Answers

25 verified answers
21
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Which statement describes the graph of this polynomial function? f of x is equal to x to the 5th power minus 6 x to the 4th power plus 9 x cubed

A
The graph touches the x -axis at x is equal to 0 and crosses the x -axis at x is equal to negative 3 .
B
The graph crosses the x -axis at x is equal to 0 and touches the x -axis at x is equal to 3 .
C
The graph touches the x -axis at x is equal to 0 and crosses the x -axis at x is equal to 3 .
D
The graph crosses the x -axis at x is equal to 0 and touches the x -axis at x is equal to negative 3 .
22
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Which equation is quadratic in form?

A
3 x to the 5th power plus 8 x cubed plus 6 is equal to 0
B
5 x to the 6th power plus x to the 4th power plus 12 is equal to 0
C
x to the 9th power plus x cubed minus 10 is equal to 0
D
6 x to the 4th power plus 7 x squared minus 3 is equal to 0
23

Which table describes the behavior of the graph of f of x is equal to 2 x cubed minus 26 x minus 24 ?

A
Table with 2 columns and 5 rows.Row 1: Column 1, 'Interval'; Column 2, 'Relation of graph to x-axis' Row 2: Column 1, 'open paren negative infinity comma negative 4 close paren'; Column 2, 'Below' Row 3: Column 1, '(−4, 1)'; Column 2, 'Above' Row 4: Column 1, '(1, 3)'; Column 2, 'Below' Row 5: Column 1, '(3, ∞)'; Column 2, 'Above'
B
Table with 2 columns and 5 rows.Row 1: Column 1, 'Interval'; Column 2, 'Relation of graph to x-axis' Row 2: Column 1, 'open paren negative infinity comma negative 3 close paren'; Column 2, 'Below' Row 3: Column 1, 'open paren negative 3 comma negative 1 close paren'; Column 2, 'Above' Row 4: Column 1, '(−1, 4)'; Column 2, 'Below' Row 5: Column 1, '(4, ∞)'; Column 2, 'Above'
C
Table with 2 columns and 5 rows.Row 1: Column 1, 'Interval'; Column 2, 'Relation of graph to x-axis' Row 2: Column 1, 'open paren negative infinity comma negative 3 close paren'; Column 2, 'Above' Row 3: Column 1, 'open paren negative 3 comma negative 1 close paren'; Column 2, 'Below' Row 4: Column 1, '(−1, 4)'; Column 2, 'Above' Row 5: Column 1, '(4, ∞)'; Column 2, 'Below'
D
Table with 2 columns and 5 rows.Row 1: Column 1, 'Interval'; Column 2, 'Relation of graph to x-axis' Row 2: Column 1, 'open paren negative infinity comma negative 4 close paren'; Column 2, 'Above' Row 3: Column 1, '(−4, 1)'; Column 2, 'Below' Row 4: Column 1, '(1, 3)'; Column 2, 'Above' Row 5: Column 1, '(3, ∞)'; Column 2, 'Below'
25

Let A , b , and c be real numbers where A is not equal to b is not equal to c is not equal to 0 Which of the following functions could represent the graph?

A
f of x is equal to x to the 4th power open paren x minus A close paren open paren x minus b close paren cubed open paren x minus c close paren cubed
B
f of x is equal to open paren x minus A close paren squared times open paren x minus b close paren times open paren x minus c close paren to the 6th power
C
f of x is equal to x squared open paren x minus A close paren squared open paren x minus b close paren to the 4th power open paren x minus c close paren
D
f of x is equal to x cubed open paren x minus A close paren cubed open paren x minus b close paren open paren x minus c close paren squared

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