Polynomials and Rational Functions — Test Answers

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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 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'
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 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'
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, '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'
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, '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'
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Which expression is a possible leading term for the polynomial function graphed?

A
negative 4 x to the 5th power
B
negative 4 x to the 8th power
C
4 x to the 8th power
D
4 x to the 5th power
23

What are the possible degrees for the polynomial function?

A
degrees of 5 or greater
B
even degrees of 6 or greater
C
degrees of 6 or greater
D
odd degrees of 5 or greater
24

How many turning points are in the graph of the polynomial function?

A
3 turning points
B
2 turning points
C
4 turning points
D
5 turning points
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 cubed open paren x minus A close paren cubed open paren x minus b close paren open paren x minus c close paren squared
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 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

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