Question 1

If   and   , what is the value of w when   ? ​

Accepted Answer

A)  15 
B)  93 
C)  23 
D)  18 
A)  15 
B)  93 
C)  23 
D)  18 A

Question 2

Function composition is the same as the product of functions.

Accepted Answer

A) True 
 B)False  False

Question 3

If   is the piecewise defined function   if   and   if   , find the value of   . ​

Accepted Answer

A)  5 
B)  25 
C)  12 
D)  -1 
A)  5 
B)  25 
C)  12 
D)  -1 C

Question 4

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

Accepted Answer

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

Question 5

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

Accepted Answer

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

Question 6

Suppose   .If the limiting value of z is 5.31, what is the limiting value of ​w? ​

Accepted Answer

A)  40.86 
B)  0 
C)  9 
D)  None of the above 
A)  40.86 
B)  0 
C)  9 
D)  None of the above

Question 7

If   and   , find a formula for   .Assume that   . ​

Accepted Answer

A)  0 
B)    
C)    
D)    
A)  0 
B)    
C)    
D)

Question 8

A piecewise-defined function cannot have a limiting value.

Accepted Answer

A) True 
 B)False

Question 9

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

Accepted Answer

A) True 
 B)False

Question 10

If   , find a formula for   . ​

Accepted Answer

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

Question 11

If   and   , find a formula for   . ​

Accepted Answer

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

Question 12

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

Accepted Answer

A)  17.05 
B)  0.79 
C)  13.65 
D)  None of the above 
A)  17.05 
B)  0.79 
C)  13.65 
D)  None of the above

Question 13

If a is positive and   , then the limiting value of   is 0.

Accepted Answer

A) True 
 B)False

Question 14

If   and   , find a formula for   . ​

Accepted Answer

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

Question 15

Suppose   .If the limiting value of z is 4, what is the limiting value of w? ​

Accepted Answer

A)  11 
B)  0 
C)  7 
D)  None of the above 
A)  11 
B)  0 
C)  7 
D)  None of the above

Question 16

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

Accepted Answer

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

Question 17

If   and   , what is the value of w when   ? ​

Accepted Answer

A)  -74.15 
B)  637.1 
C)  13.51 
D)  13.43 
A)  -74.15 
B)  637.1 
C)  13.51 
D)  13.43

Question 18

Suppose   .Let   be the piecewise-defined function   if   , and   if   .What is the value of   )? ​

Accepted Answer

A)  682 
B)  83 
C)  310 
D)  41 
A)  682 
B)  83 
C)  310 
D)  41

Question 19

If   and   , find a formula for   . ​

Accepted Answer

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

Question 20

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

Accepted Answer

A)  16.96 
B)  15.8 
C)  21.84 
D)  None of the above 
A)  16.96 
B)  15.8 
C)  21.84 
D)  None of the above

Exam 24: Combining and Decomposing Functions

If and , what is the value of w when ? ​

Function composition is the same as the product of functions.

If is the piecewise defined function if and if , find the value of . ​

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

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

Suppose .If the limiting value of z is 5.31, what is the limiting value of ​w? ​

If and , find a formula for .Assume that . ​

A piecewise-defined function cannot have a limiting value.

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

If , find a formula for . ​

If and , find a formula for . ​

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

If a is positive and , then the limiting value of is 0.

If and , find a formula for . ​

Suppose .If the limiting value of z is 4, what is the limiting value of w? ​

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

If and , what is the value of w when ? ​

Suppose .Let be the piecewise-defined function if , and if .What is the value of )? ​

If and , find a formula for . ​

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

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 w when ?

If is the piecewise defined function if and if , find the value of .

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

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

Suppose .If the limiting value of z is 5.31, what is the limiting value of w?

If and , find a formula for .Assume that .

If , find a formula for .

If and , find a formula for .

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

If and , find a formula for .

Suppose .If the limiting value of z is 4, what is the limiting value of w?

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

If and , what is the value of w when ?

Suppose .Let be the piecewise-defined function if , and if .What is the value of )?

If and , find a formula for .

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