AnswersAlgebraic ReasoningPolynomial Functions and Finite Differences

Polynomial Functions and Finite Differences — Quiz Answers

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Which best describes the constant difference for the function?

A
a constant second difference of negative 24
B
a constant first difference of negative 24
C
a constant second difference of 48
D
a constant first difference of 48
22
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Which best describes the constant difference for the function?

A
a constant third difference of negative 6
B
a constant second difference of 8
C
a constant second difference of negative 6
D
a constant third difference of 8
23

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Answer:

225

24

Which table shows input and output values that represent a quadratic function?

A
Table cap d
B
Table cap c
C
Table cap b
D
Table cap A
25

The table is extended to include columns for common differences. Which answer includes a column that is part of the extended table?

A
Table with 1 columns and 6 rows.Row 1: Column 1, 'Second Difference' Row 2: Column 1, '-' Row 3: Column 1, '-' Row 4: Column 1, '192' Row 5: Column 1, '192' Row 6: Column 1, '192'
B
Table with 1 columns and 6 rows.Row 1: Column 1, 'Third Difference' Row 2: Column 1, '-' Row 3: Column 1, '-' Row 4: Column 1, '-' Row 5: Column 1, 'negative 192' Row 6: Column 1, 'negative 192'
C
Table with 1 columns and 6 rows.Row 1: Column 1, 'Third Difference' Row 2: Column 1, '-' Row 3: Column 1, '-' Row 4: Column 1, '-' Row 5: Column 1, '192' Row 6: Column 1, '192'
D
Table with 1 columns and 6 rows.Row 1: Column 1, 'Second Difference' Row 2: Column 1, '-' Row 3: Column 1, '-' Row 4: Column 1, 'negative 192' Row 5: Column 1, 'negative 192' Row 6: Column 1, 'negative 192'
26

Choose the function represented by the data.

A
f of x is equal to 2 x squared plus 1
B
f of x is equal to x squared minus 6 x plus 1
C
f of x is equal to negative 12 x plus 1
D
f of x is equal to negative 14 x minus 11
27

The table is extended to include columns for common differences. Which answer includes a column that is part of the extended table?

A
Table with 1 columns and 6 rows.Row 1: Column 1, 'Third Difference' Row 2: Column 1, '-' Row 3: Column 1, '-' Row 4: Column 1, '-' Row 5: Column 1, 'negative 192' Row 6: Column 1, 'negative 192'
B
Table with 1 columns and 6 rows.Row 1: Column 1, 'Second Difference' Row 2: Column 1, '-' Row 3: Column 1, '-' Row 4: Column 1, '192' Row 5: Column 1, '192' Row 6: Column 1, '192'
C
Table with 1 columns and 6 rows.Row 1: Column 1, 'Second Difference' Row 2: Column 1, '-' Row 3: Column 1, '-' Row 4: Column 1, 'negative 192' Row 5: Column 1, 'negative 192' Row 6: Column 1, 'negative 192'
D
Table with 1 columns and 6 rows.Row 1: Column 1, 'Third Difference' Row 2: Column 1, '-' Row 3: Column 1, '-' Row 4: Column 1, '-' Row 5: Column 1, '192' Row 6: Column 1, '192'
28

If the bases of the supports never have dimensions greater than 1 and 1 half feet by 1 and 1 half feet, which statements describe the function represented in the table and the given information? Choose two correct answers.

A
cap r is equal to 15 point 6 2 5 is less than or equal to p times s comma p times s is less than or equal to 91 point 1 2 5
B
cap d is equal to cap r and cap r is equal to cap r
C
The function is cubic.
D
cap d is equal to 0 is less than or equal to s comma s is less than or equal to 1 and 1 half
E
The function has constant second differences.
29

Choose the function represented by the data.

A
f of x is equal to 1 fifth x squared minus 2 x plus 3 fifths
B
f of x is equal to x minus 6 and 3 fifths
C
f of x is equal to 2 fifths x plus 3 fifths
D
f of x is equal to x squared minus 10 x minus 18 and 3 fifths
30

What are the restricted domain and range of the function representing the fireworks show?

A
cap d is equal to 3 is less than or equal to t comma t is less than or equal to 7 and cap r is equal to 336 is less than or equal to h of t comma h of t is less than or equal to 400
B
cap d is equal to 0 is less than or equal to t comma t is less than or equal to 10 and cap r is equal to 0 is less than or equal to h of t comma h of t is less than or equal to 400
C
cap d is equal to 0 is less than or equal to t comma t is less than or equal to 10 and cap r is equal to 336 is less than or equal to h of t comma h of t is less than or equal to 400
D
cap d is equal to 3 is less than or equal to t comma t is less than or equal to 7 and cap r is equal to 0 is less than or equal to h of t comma h of t is less than or equal to 400
31

Which answer classifies the function using finite differences?

A
The function is quadratic with a constant second difference of negative 3 .
B
The function is quadratic with a constant second difference of 3 .
C
The function is linear with a constant first difference of negative 3 .
D
The function is linear with a constant first difference of 3 .

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