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Mathematics
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Functions and Change A Modeling
Quiz 24: Combining and Decomposing Functions
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Question 1
Multiple Choice
If
and
, find a formula for
.
Question 2
Multiple Choice
If
, find a formula for
.
Question 3
Multiple Choice
If
and
, find a formula for
.
Question 4
True/False
When two functions are composed to make a new function, it makes no difference in which order the functions are used.
Question 5
Multiple Choice
Use a formula to express w as a function of t if
and
.
Question 6
True/False
Piecewise-defined functions occur in such applications as the cost of postage.
Question 7
True/False
Function composition is the same as the product of functions.
Question 8
Multiple Choice
Use a formula to express w as a function of t if
and
.
Question 9
True/False
A piecewise-defined function cannot have a limiting value.
Question 10
True/False
The limiting value of
is always the same as the limiting value of
.
Question 11
Multiple Choice
If
and
, find a formula for
.Assume that
.
Question 12
Multiple Choice
If
, find a formula for
.
Question 13
Multiple Choice
If
and
, find a formula for
.
Question 14
Multiple Choice
Use a formula to express
as a function of t if
,
, and
.
Question 15
True/False
If a is positive and
, then the limiting value of
is 0.
Question 16
Multiple Choice
Use a formula to express w as a function of t if
and
.
Question 17
Multiple Choice
Use a formula to express w as a function of t if
and
.
Question 18
Multiple Choice
If
and
, find a formula for
.
Question 19
True/False
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.