Question 1

If f satisfies the equation of change   , and the initial value of f is 8, find a formula for the function   . ​

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 2

If f satisfies the equation of change   , and the initial value of f is 4.3, find a formula for the function   . ​

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 3

The difference D between the temperature of an oven and the temperature of an object baking in the oven satisfies an equation of change of the form   .

Accepted Answer

A) True 
 B)False

Question 4

The difference D between the temperature of a hot but cooling cup of tea and room temperature satisfies an equation of change of the form   .

Accepted Answer

A) True 
 B)False

Question 5

If f satisfies the equation of change   where m is a constant, then f is an exponential function with growth factor   .
​

Accepted Answer

A) True 
 B)False

Question 6

Which of the following are described by an equation of change of the form   ? ​

Accepted Answer

A)  Exponential population growth 
B)  Balance of an account subject to compound interest 
C)  Radioactive decay 
D)  All of the above 
A)  Exponential population growth 
B)  Balance of an account subject to compound interest 
C)  Radioactive decay 
D)  All of the above

Question 7

If f satisfies the equation of change   , and the initial value of f is 7.94, find a formula for the function   . ​

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 8

The rate of growth in price of an item that costs N dollars is   .Write an equation of change that is satisfied by N. ​

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 9

If f satisfies the equation of change   , then what can be said about the function   ? ​

Accepted Answer

A)  f is linear with slope   . 
B)  f is linear with slope 4. 
C)  f is exponential with growth factor   . 
D)  f is exponential with growth factor 4. 
A)  f is linear with slope   . 
B)  f is linear with slope 4. 
C)  f is exponential with growth factor   . 
D)  f is exponential with growth factor 4.

Question 10

If f satisfies the equation of change   , and the initial value of f is 5, find a formula for the function   . ​

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Exam 30: Equations of Change Linear and Exponential Functions

If f satisfies the equation of change , and the initial value of f is 8, find a formula for the function . ​

If f satisfies the equation of change , and the initial value of f is 4.3, find a formula for the function . ​

The difference D between the temperature of an oven and the temperature of an object baking in the oven satisfies an equation of change of the form .

The difference D between the temperature of a hot but cooling cup of tea and room temperature satisfies an equation of change of the form .

If f satisfies the equation of change where m is a constant, then f is an exponential function with growth factor . ​

Which of the following are described by an equation of change of the form ? ​

If f satisfies the equation of change , and the initial value of f is 7.94, find a formula for the function . ​

The rate of growth in price of an item that costs N dollars is .Write an equation of change that is satisfied by N. ​

If f satisfies the equation of change , then what can be said about the function ? ​

If f satisfies the equation of change , and the initial value of f is 5, find a formula for the function . ​

Functions Given by Formulas

Functions Given by TableChas

Functions Given by Graphs

Functions Given by Words

Table and Trends

Graphs

Solving Linear Equations

Solving Nonlinear Equations

Inequalities

Optimization

The Geometry of Lines

Linear Functions

Modeling Data with Linear Functions

Linear Regression

Systems of Equations

Exponential Growth and Decay

Constant Percentage Change

Modeling Exponential Data

Modeling Nearly Exponential Data

Logarithmic Functions

Logistic Functions

Power Functions

Modeling Data with Power Functions

Combining and Decomposing Functions

Quadratic Functions

Higher Degree Polynomials and Rational Functions

Velocity

Rates of Change for Other Functions

Estimating Rates of Change

Equations of Change Graphical Solutions

Filters

If f satisfies the equation of change , and the initial value of f is 8, find a formula for the function .

If f satisfies the equation of change , and the initial value of f is 4.3, find a formula for the function .

If f satisfies the equation of change where m is a constant, then f is an exponential function with growth factor .

Which of the following are described by an equation of change of the form ?

If f satisfies the equation of change , and the initial value of f is 7.94, find a formula for the function .

The rate of growth in price of an item that costs N dollars is .Write an equation of change that is satisfied by N.

If f satisfies the equation of change , then what can be said about the function ?

If f satisfies the equation of change , and the initial value of f is 5, find a formula for the function .