Deck 24: Combining and Decomposing Functions

Question 1

If and , find a formula for . ​

A)
B)
C)
D)

Answer 1

Question 2

If , find a formula for . ​

A)
B)
C)
D)

Answer 2

Question 3

If and , find a formula for . ​

A)
B)
C)
D)

Answer 3

Question 4

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

Question 5

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

A)
B)
C)
D)

Question 6

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

Question 7

Function composition is the same as the product of functions.

Question 8

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

A)
B)
C)
D)

Question 9

A piecewise-defined function cannot have a limiting value.

Question 10

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

Question 11

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

A) 0
B)
C)
D)

Question 12

If , find a formula for . ​

A)
B)
C)
D)

Question 13

If and , find a formula for . ​

A)
B)
C)
D)

Question 14

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

A)
B)
C)
D)

Question 15

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

Question 16

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

A)
B)
C)
D)

Question 17

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

A)
B)
C)
D)

Question 18

If and , find a formula for . ​

A)
B)
C)
D)

Question 19

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.

Question 20

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

Question 21

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

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

Question 22

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

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

Question 23

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

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

Question 24

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

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

Question 25

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

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

Question 26

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

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

Question 27

If , what is the value of ? ​

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

Question 28

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

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

Question 29

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

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

Question 30

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

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

Question 31

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

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

Question 32

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

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

Question 33

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

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

Question 34

If , find a formula for . ​

A)
B)
C)
D)

Question 35

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

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

Question 36

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

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