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Exam 29 Estimating Rates of Change

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Exam 1: Functions Given by Formulas38 Questionsadd course
Exam 2: Functions Given by TableChas13 Questionsadd course
Exam 3: Functions Given by Graphs38 Questionsadd course
Exam 4: Functions Given by Words26 Questionsadd course
Exam 6: Graphs37 Questionsadd course
Exam 7: Solving Linear Equations35 Questionsadd course
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Exam 11: The Geometry of Lines46 Questionsadd course
Exam 12: Linear Functions39 Questionsadd course
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Exam 14: Linear Regression5 Questionsadd course
Exam 15: Systems of Equations40 Questionsadd course
Exam 16: Exponential Growth and Decay41 Questionsadd course
Exam 17: Constant Percentage Change31 Questionsadd course
Exam 18: Modeling Exponential Data7 Questionsadd course
Exam 19: Modeling Nearly Exponential Data5 Questionsadd course
Exam 20: Logarithmic Functions41 Questionsadd course
Exam 21: Logistic Functions35 Questionsadd course
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Exam 24: Combining and Decomposing Functions36 Questionsadd course
Exam 25: Quadratic Functions24 Questionsadd course
Exam 26: Higher Degree Polynomials and Rational Functions27 Questionsadd course
Exam 27: Velocity49 Questionsadd course
Exam 28: Rates of Change for Other Functions40 Questionsadd course
Exam 29 Estimating Rates of Change27 Questionsadd course
Exam 30: Equations of Change Linear and Exponential Functions30 Questionsadd course
Exam 31: Equations of Change Graphical Solutions39 Questionsadd course
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A ball is tossed upward and then falls to the ground.Its height after t seconds is given by the function A ball is tossed upward and then falls to the ground.Its height after t seconds is given by the function .At the time the rock reaches its peak, what can be said about ? ​ .At the time the rock reaches its peak, what can be said about A ball is tossed upward and then falls to the ground.Its height after t seconds is given by the function .At the time the rock reaches its peak, what can be said about ? ​ ? ​

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Question 1
Correct Answer:
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C

When a function reaches a maximum value (at a peak), the rate of change is 0.

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Question 2
Correct Answer:
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True

If f is the linear function If f is the linear function then is: ​ then If f is the linear function then is: ​ is: ​

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Question 3
Correct Answer:
Verified

C

The value of The value of can be calculated exactly from a table of values. can be calculated exactly from a table of values.

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Question 4

Use an increment of 0.02 to estimate the value of Use an increment of 0.02 to estimate the value of at if . ​ at Use an increment of 0.02 to estimate the value of at if . ​ if Use an increment of 0.02 to estimate the value of at if . ​ . ​

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Question 5

A ball is tossed upward and then falls to the ground.Its height after t seconds is given by the function A ball is tossed upward and then falls to the ground.Its height after t seconds is given by the function .During the period the rock is falling, what can be said about ? ​ .During the period the rock is falling, what can be said about A ball is tossed upward and then falls to the ground.Its height after t seconds is given by the function .During the period the rock is falling, what can be said about ? ​ ? ​

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Question 6

A population changes with time.Its level after t years is given by the function A population changes with time.Its level after t years is given by the function .Over a certain period, the population is growing.What can be said about over this period? ​ .Over a certain period, the population is growing.What can be said about A population changes with time.Its level after t years is given by the function .Over a certain period, the population is growing.What can be said about over this period? ​ over this period? ​

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Question 7

The value of The value of can be approximated using the average rate of change for . can be approximated using the average rate of change for The value of can be approximated using the average rate of change for . .

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Question 8

Water is draining from a pond.The amount of water, in gallons, remaining in the pond t minutes after draining begins is given by the function Water is draining from a pond.The amount of water, in gallons, remaining in the pond t minutes after draining begins is given by the function .We know that and is -579 when t is 9.Use this information to estimate the amount of water in the pond 16 minutes after draining begins. ​ .We know that Water is draining from a pond.The amount of water, in gallons, remaining in the pond t minutes after draining begins is given by the function .We know that and is -579 when t is 9.Use this information to estimate the amount of water in the pond 16 minutes after draining begins. ​ and Water is draining from a pond.The amount of water, in gallons, remaining in the pond t minutes after draining begins is given by the function .We know that and is -579 when t is 9.Use this information to estimate the amount of water in the pond 16 minutes after draining begins. ​ is -579 when t is 9.Use this information to estimate the amount of water in the pond 16 minutes after draining begins. ​

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Question 9

Suppose Suppose and .Use this information to estimate the value of when . ​ and Suppose and .Use this information to estimate the value of when . ​ .Use this information to estimate the value of Suppose and .Use this information to estimate the value of when . ​ when Suppose and .Use this information to estimate the value of when . ​ . ​

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Question 10

Use an increment of 0.3 to estimate the value of Use an increment of 0.3 to estimate the value of at if .Round your answer to two decimal places. ​ at Use an increment of 0.3 to estimate the value of at if .Round your answer to two decimal places. ​ if Use an increment of 0.3 to estimate the value of at if .Round your answer to two decimal places. ​ .Round your answer to two decimal places. ​

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Question 11

If f is the linear function If f is the linear function then is: ​ then If f is the linear function then is: ​ is: ​

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Question 12

Use an increment of 0.3 to estimate the value of Use an increment of 0.3 to estimate the value of at if .Round your answer to two decimal places. ​ at Use an increment of 0.3 to estimate the value of at if .Round your answer to two decimal places. ​ if Use an increment of 0.3 to estimate the value of at if .Round your answer to two decimal places. ​ .Round your answer to two decimal places. ​

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Question 13

Use an increment of 0.03 to estimate the value of Use an increment of 0.03 to estimate the value of at if .Round your answer to two decimal places. ​ at Use an increment of 0.03 to estimate the value of at if .Round your answer to two decimal places. ​ if Use an increment of 0.03 to estimate the value of at if .Round your answer to two decimal places. ​ .Round your answer to two decimal places. ​

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Question 14

A population changes with time.Its level after t years is given by the function A population changes with time.Its level after t years is given by the function .Over a certain period, the population is declining.What can be said about over this period? ​ .Over a certain period, the population is declining.What can be said about A population changes with time.Its level after t years is given by the function .Over a certain period, the population is declining.What can be said about over this period? ​ over this period? ​

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Question 15

A balloon is floating upward.Its height in feet t seconds after release is given by the function A balloon is floating upward.Its height in feet t seconds after release is given by the function .We know that and is 4 when t is 3.Use this information to estimate the height of the balloon 9 seconds after release. ​ .We know that A balloon is floating upward.Its height in feet t seconds after release is given by the function .We know that and is 4 when t is 3.Use this information to estimate the height of the balloon 9 seconds after release. ​ and A balloon is floating upward.Its height in feet t seconds after release is given by the function .We know that and is 4 when t is 3.Use this information to estimate the height of the balloon 9 seconds after release. ​ is 4 when t is 3.Use this information to estimate the height of the balloon 9 seconds after release. ​

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Question 16

A population changes with time.Its level after t years is given by the function A population changes with time.Its level after t years is given by the function .After a period of population increase, the population reaches a maximum value.What can be said about at this time? ​ .After a period of population increase, the population reaches a maximum value.What can be said about A population changes with time.Its level after t years is given by the function .After a period of population increase, the population reaches a maximum value.What can be said about at this time? ​ at this time? ​

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Question 17

The profit earned when n items are produced is given by the function The profit earned when n items are produced is given by the function .If increasing production will result in an increase in profits, what can be said about marginal profit ? ​ .If increasing production will result in an increase in profits, what can be said about marginal profit The profit earned when n items are produced is given by the function .If increasing production will result in an increase in profits, what can be said about marginal profit ? ​ ? ​

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Question 18

Suppose Suppose and .Use this information to estimate the value of when . ​ and Suppose and .Use this information to estimate the value of when . ​ .Use this information to estimate the value of Suppose and .Use this information to estimate the value of when . ​ when Suppose and .Use this information to estimate the value of when . ​ . ​

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Question 19

Suppose Suppose and .Use this information to estimate the value of when . ​ and Suppose and .Use this information to estimate the value of when . ​ .Use this information to estimate the value of Suppose and .Use this information to estimate the value of when . ​ when Suppose and .Use this information to estimate the value of when . ​ . ​

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