Question 1

If   and   , what is the value of   ? Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  15.17 
B)  1,006.23 
C)  20 
D)  None of the above 
A)  15.17 
B)  1,006.23 
C)  20 
D)  None of the above

Question 2

If   and   , what is the value of   ? Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  7.51 
B)  6.3 
C)  6.36 
D)  None of the above 
A)  7.51 
B)  6.3 
C)  6.36 
D)  None of the above

Question 3

Suppose   .If the limiting value of z is 0, what is the limiting value of w? ​

Accepted Answer

A)  7 
B)  0 
C)  9 
D)  None of the above 
A)  7 
B)  0 
C)  9 
D)  None of the above

Question 4

If   and   , what is the value of w when   ? Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  3.74 
B)  145.92 
C)  6.86 
D)  17 
A)  3.74 
B)  145.92 
C)  6.86 
D)  17

Question 5

Piecewise-defined functions occur in such applications as the cost of postage.

Accepted Answer

A) True 
 B)False

Question 6

If   and   , what is the value of w when   ? Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  17.23 
B)  22.4 
C)  3.67 
D)  27.88 
A)  17.23 
B)  22.4 
C)  3.67 
D)  27.88

Question 7

If   , what is the value of   ? ​

Accepted Answer

A)  4,225 
B)  325 
C)  845 
D)  None of the above 
A)  4,225 
B)  325 
C)  845 
D)  None of the above

Question 8

Use a formula to express w as a function of t if   and   . ​

Accepted Answer

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

Question 9

If   , find a formula for   . ​

Accepted Answer

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

Question 10

If we have a function giving the weight of a man in terms of his height and a function giving the height of this man in terms of his age, we can compose the two functions to get the man's weight in terms of his age.

Accepted Answer

A) True 
 B)False

Question 11

The maximum value of   is always the same as the maximum value of   .

Accepted Answer

A) True 
 B)False

Question 12

If   , find a formula for   . ​

Accepted Answer

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

Question 13

If   and   , find a formula for   . ​

Accepted Answer

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

Question 14

Use a formula to express w as a function of t if   and   . ​

Accepted Answer

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

Question 15

When two functions are composed to make a new function, it makes no difference in which order the functions are used.

Accepted Answer

A) True 
 B)False

Question 16

Suppose   if   and   if   .Let   .What is the value of   )? ​

Accepted Answer

A)  126 
B)  39 
C)  90 
D)  33 
A)  126 
B)  39 
C)  90 
D)  33

Exam 24: Combining and Decomposing Functions

If and , what is the value of ? Round your answer to two decimal places if necessary. ​

If and , what is the value of ? Round your answer to two decimal places if necessary. ​

Suppose .If the limiting value of z is 0, what is the limiting value of w? ​

If and , what is the value of w when ? Round your answer to two decimal places if necessary. ​

Piecewise-defined functions occur in such applications as the cost of postage.

If and , what is the value of w when ? Round your answer to two decimal places if necessary. ​

If , what is the value of ? ​

Use a formula to express w as a function of t if and . ​

If , find a formula for . ​

If we have a function giving the weight of a man in terms of his height and a function giving the height of this man in terms of his age, we can compose the two functions to get the man's weight in terms of his age.

The maximum value of is always the same as the maximum value of .

If , find a formula for . ​

If and , find a formula for . ​

Use a formula to express w as a function of t if and . ​

When two functions are composed to make a new function, it makes no difference in which order the functions are used.

Suppose if and if .Let .What is the value of )? ​

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

Quadratic Functions

Higher Degree Polynomials and Rational Functions

Velocity

Rates of Change for Other Functions

Estimating Rates of Change

Equations of Change Linear and Exponential Functions

Equations of Change Graphical Solutions

Filters

If and , what is the value of ? Round your answer to two decimal places if necessary.

If and , what is the value of ? Round your answer to two decimal places if necessary.

Suppose .If the limiting value of z is 0, what is the limiting value of w?

If and , what is the value of w when ? Round your answer to two decimal places if necessary.

If and , what is the value of w when ? Round your answer to two decimal places if necessary.

If , what is the value of ?

Use a formula to express w as a function of t if and .

If , find a formula for .

If , find a formula for .

If and , find a formula for .

Use a formula to express w as a function of t if and .

Suppose if and if .Let .What is the value of )?