Polynomial Functions and Finite Differences…

1

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

A

Table cap d

B

Table cap b

C

Table cap A

D

Table cap c

2

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Which answer classifies the function using finite differences?

A

The function is cubic with a constant third difference of negative 96 .

B

The function is cubic with a constant third difference of 96 .

C

The function is quadratic with a constant second difference of negative 96 .

D

The function is quadratic with a constant second difference of 96 .

3

Which answer classifies the function using finite differences?

A

The function is linear with a constant first difference of negative 3 .

B

The function is quadratic with a constant second difference of negative 3 .

C

The function is linear with a constant first difference of 3 .

D

The function is quadratic with a constant second difference of 3 .

4

Which answer classifies the function using finite differences?

A

The function is quadratic with a constant second difference of negative 4 .

B

The function is quadratic with a constant second difference of 4 .

C

The function is cubic with a constant third difference of 4 .

D

The function is cubic with a constant third difference of negative 4 .

5

Which best describes the constant difference for the function?

A

a constant second difference of negative 6

B

a constant second difference of 8

C

a constant third difference of negative 6

D

a constant third difference of 8

6

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, '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'

7

Which shows the completed first difference column for the function?

A

Table with 1 columns and 6 rows.Row 1: Column 1, 'First Difference' Row 2: Column 1, '-' Row 3: Column 1, '27' Row 4: Column 1, '27' Row 5: Column 1, '27' Row 6: Column 1, '27'

B

Table with 1 columns and 6 rows.Row 1: Column 1, 'First Difference' Row 2: Column 1, '-' Row 3: Column 1, 'negative 27' Row 4: Column 1, 'negative 27' Row 5: Column 1, 'negative 27' Row 6: Column 1, 'negative 27'

C

Table with 1 columns and 6 rows.Row 1: Column 1, 'First Difference' Row 2: Column 1, '-' Row 3: Column 1, '3' Row 4: Column 1, '3' Row 5: Column 1, '3' Row 6: Column 1, '3'

D

Table with 1 columns and 6 rows.Row 1: Column 1, 'First Difference' Row 2: Column 1, '-' Row 3: Column 1, 'negative 3' Row 4: Column 1, 'negative 3' Row 5: Column 1, 'negative 3' Row 6: Column 1, 'negative 3'

8

Which best describes the constant difference for the function?

A

a constant first difference of 48

B

a constant second difference of negative 24

C

a constant second difference of 48

D

a constant first difference of negative 24

9

Which shows the completed first difference column for the function?

A

Table with 1 columns and 6 rows.Row 1: Column 1, 'First Difference' Row 2: Column 1, '-' Row 3: Column 1, '27' Row 4: Column 1, '27' Row 5: Column 1, '27' Row 6: Column 1, '27'

B

Table with 1 columns and 6 rows.Row 1: Column 1, 'First Difference' Row 2: Column 1, '-' Row 3: Column 1, 'negative 3' Row 4: Column 1, 'negative 3' Row 5: Column 1, 'negative 3' Row 6: Column 1, 'negative 3'

C

Table with 1 columns and 6 rows.Row 1: Column 1, 'First Difference' Row 2: Column 1, '-' Row 3: Column 1, '3' Row 4: Column 1, '3' Row 5: Column 1, '3' Row 6: Column 1, '3'

D

Table with 1 columns and 6 rows.Row 1: Column 1, 'First Difference' Row 2: Column 1, '-' Row 3: Column 1, 'negative 27' Row 4: Column 1, 'negative 27' Row 5: Column 1, 'negative 27' Row 6: Column 1, 'negative 27'

10

Which answer classifies the function using finite differences?

A

The function is cubic with a constant third difference of negative 4 .

B

The function is cubic with a constant third difference of 4 .

C

The function is quadratic with a constant second difference of 4 .

D

The function is quadratic with a constant second difference of negative 4 .

11

Choose the function represented by the data.

A

f of x is equal to 2 fifths x plus 3 fifths

B

f of x is equal to x squared minus 10 x minus 18 and 3 fifths

C

f of x is equal to x minus 6 and 3 fifths

D

f of x is equal to 1 fifth x squared minus 2 x plus 3 fifths

12

Which best describes the constant difference for the function?

A

a constant third difference of 8

B

a constant second difference of negative 6

C

a constant third difference of negative 6

D

a constant second difference of 8

13

Which best describes the constant difference for the function?

A

a constant first difference of negative 24

B

a constant second difference of 48

C

a constant second difference of negative 24

D

a constant first difference of 48

14

Choose the function represented by the data.

A

f of x is equal to 100 x cubed plus 250 x plus 354

B

f of x is equal to 150 x cubed plus 554

C

f of x is equal to 4 x squared plus 100 x plus 600

D

f of x is equal to 4 x squared plus 700

15

Which answer classifies the function using finite differences?

A

The function is cubic with a constant third difference of negative 96 .

B

The function is quadratic with a constant second difference of negative 96 .

C

The function is quadratic with a constant second difference of 96 .

D

The function is cubic with a constant third difference of 96 .

16

Which answer classifies the function using finite differences?

A

The function is linear with a constant first 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 3 .

D

The function is quadratic with a constant second difference of negative 3 .

17

If a family has a budget of 90 dollars , what are the restricted domain and range of the function?

A

The domain is restricted to all whole numbers from 0 and 50 inclusive. The range is all real numbers from 0 to 77 point 5 inclusive.

B

The domain is restricted to all whole numbers from 0 and 60 inclusive. The range is all real numbers from 15 to 90 inclusive.

C

The domain is restricted to all whole numbers from 0 and 60 inclusive. The range is all real numbers from 0 to 90 inclusive.

D

The domain is restricted to all whole numbers from 0 and 50 inclusive. The range is all real numbers from 15 to 77 point 5 inclusive.

18

Choose the function represented by the data.

A

f of x is equal to 1 third x minus 5 sixths

B

f of x is equal to the fraction with numerator x squared and denominator 6 minus 85 sixths

C

f of x is equal to 1 third x squared plus 7 thirds x minus 37 sixths

D

f of x is equal to x plus 4 and 1 half

19

Which shows the completed first difference column for the function?

A

Table with 1 columns and 6 rows.Row 1: Column 1, 'First Difference' Row 2: Column 1, '-' Row 3: Column 1, 'negative 3' Row 4: Column 1, 'negative 3' Row 5: Column 1, 'negative 3' Row 6: Column 1, 'negative 3'

B

Table with 1 columns and 6 rows.Row 1: Column 1, 'First Difference' Row 2: Column 1, '-' Row 3: Column 1, '3' Row 4: Column 1, '3' Row 5: Column 1, '3' Row 6: Column 1, '3'

C

Table with 1 columns and 6 rows.Row 1: Column 1, 'First Difference' Row 2: Column 1, '-' Row 3: Column 1, '27' Row 4: Column 1, '27' Row 5: Column 1, '27' Row 6: Column 1, '27'

D

Table with 1 columns and 6 rows.Row 1: Column 1, 'First Difference' Row 2: Column 1, '-' Row 3: Column 1, 'negative 27' Row 4: Column 1, 'negative 27' Row 5: Column 1, 'negative 27' Row 6: Column 1, 'negative 27'

20

Choose the function represented by the data.

A

f of x is equal to x plus 4 and 1 half

B

f of x is equal to the fraction with numerator x squared and denominator 6 minus 85 sixths

C

f of x is equal to 1 third x squared plus 7 thirds x minus 37 sixths

D

f of x is equal to 1 third x minus 5 sixths

Polynomial Functions and Finite Differences — Quiz Answers

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