Is there any point of inflection on the graph of S where the graph compares the total U.S prison population and the average combined SAT score in the United States during the 1970 s and 1980 s this data can be accurately modeled by S ( n ) = 904 + 1 , 326 ( n − 180 ) 1 , 325 ( 192 ≤ x ≤ 563 ) .

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Answer 1

Question

Chapter 12.3, Problem 77E

(a)

To determine

Is there any point of inflection on the graph of S where the graph compares the total U.S prison population and the average combined SAT score in the United States during the 1970s and 1980s this data can be accurately modeled by S(n)=904+1,326(n−180)1,325(192≤x≤563).

(b)

To determine

What does the concavity of the graph of S telling about prison population and SAT scores where the graph compares the total U.S prison population and the average combined SAT score in the United States during the 1970s and 1980s this data can be accurately modeled by S(n)=904+1,326(n−180)1,325(192≤x≤563).

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(b) Find the (instantaneous) rate of change of y at x = 5. In the previous part, we found the average rate of change for several intervals of decreasing size starting at x = 5. The instantaneous rate of change of fat x = 5 is the limit of the average rate of change over the interval [x, x + h] as h approaches 0. This is given by the derivative in the following limit. lim h→0 - f(x + h) − f(x) h The first step to find this limit is to compute f(x + h). Recall that this means replacing the input variable x with the expression x + h in the rule defining f. f(x + h) = (x + h)² - 5(x+ h) = 2xh+h2_ x² + 2xh + h² 5✔ - 5 )x - 5h Step 4 - The second step for finding the derivative of fat x is to find the difference f(x + h) − f(x). - f(x + h) f(x) = = (x² x² + 2xh + h² - ])- = 2x + h² - 5h ])x-5h) - (x² - 5x) = ]) (2x + h - 5) Macbook Pro

Answer 2

Question

Chapter 12.3, Problem 77E

(a)

To determine

Is there any point of inflection on the graph of S where the graph compares the total U.S prison population and the average combined SAT score in the United States during the 1970s and 1980s this data can be accurately modeled by S(n)=904+1,326(n−180)1,325(192≤x≤563).

(b)

To determine

What does the concavity of the graph of S telling about prison population and SAT scores where the graph compares the total U.S prison population and the average combined SAT score in the United States during the 1970s and 1980s this data can be accurately modeled by S(n)=904+1,326(n−180)1,325(192≤x≤563).

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Answer 3

Question

Chapter 12.3, Problem 77E

(a)

To determine

Is there any point of inflection on the graph of S where the graph compares the total U.S prison population and the average combined SAT score in the United States during the 1970s and 1980s this data can be accurately modeled by S(n)=904+1,326(n−180)1,325(192≤x≤563).

(b)

To determine

What does the concavity of the graph of S telling about prison population and SAT scores where the graph compares the total U.S prison population and the average combined SAT score in the United States during the 1970s and 1980s this data can be accurately modeled by S(n)=904+1,326(n−180)1,325(192≤x≤563).

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Answer 4

Question

Chapter 12.3, Problem 77E

(a)

To determine

Is there any point of inflection on the graph of S where the graph compares the total U.S prison population and the average combined SAT score in the United States during the 1970s and 1980s this data can be accurately modeled by S(n)=904+1,326(n−180)1,325(192≤x≤563).

(b)

To determine

What does the concavity of the graph of S telling about prison population and SAT scores where the graph compares the total U.S prison population and the average combined SAT score in the United States during the 1970s and 1980s this data can be accurately modeled by S(n)=904+1,326(n−180)1,325(192≤x≤563).

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Answer 5

Chapter 12.3, Problem 77E

(a)

To determine

Is there any point of inflection on the graph of S where the graph compares the total U.S prison population and the average combined SAT score in the United States during the 1970s and 1980s this data can be accurately modeled by S(n)=904+1,326(n−180)1,325(192≤x≤563).

(b)

To determine

What does the concavity of the graph of S telling about prison population and SAT scores where the graph compares the total U.S prison population and the average combined SAT score in the United States during the 1970s and 1980s this data can be accurately modeled by S(n)=904+1,326(n−180)1,325(192≤x≤563).

Answer 6

Chapter 12.3, Problem 77E

(a)

To determine

Is there any point of inflection on the graph of S where the graph compares the total U.S prison population and the average combined SAT score in the United States during the 1970s and 1980s this data can be accurately modeled by S(n)=904+1,326(n−180)1,325(192≤x≤563).

Answer 7

Chapter 12.3, Problem 77E

(a)

To determine

Is there any point of inflection on the graph of S where the graph compares the total U.S prison population and the average combined SAT score in the United States during the 1970s and 1980s this data can be accurately modeled by S(n)=904+1,326(n−180)1,325(192≤x≤563).

Answer 8

(b)

To determine

What does the concavity of the graph of S telling about prison population and SAT scores where the graph compares the total U.S prison population and the average combined SAT score in the United States during the 1970s and 1980s this data can be accurately modeled by S(n)=904+1,326(n−180)1,325(192≤x≤563).

Answer 9

(b)

To determine

What does the concavity of the graph of S telling about prison population and SAT scores where the graph compares the total U.S prison population and the average combined SAT score in the United States during the 1970s and 1980s this data can be accurately modeled by S(n)=904+1,326(n−180)1,325(192≤x≤563).

Answer 10

Expert Solution & Answer

Answer 11

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Answer 12

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Answer 13

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Is there any point of inflection on the graph of S where the graph compares the total U.S prison population and the average combined SAT score in the United States during the 1970s and 1980s this data can be accurately modeled by S(n)=904+1,326(n−180)1,325(192≤x≤563).

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