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Functions and Change A Modeling
Functions and Change A Modeling
Business
Quiz 24 :
Combining and Decomposing Functions
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Quiz 24 :
Combining and Decomposing Functions
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Q01
Q01
Q01
Function composition is the same as the product of functions.
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True False
False
Q02
Q02
Q02
Piecewise-defined functions occur in such applications as the cost of postage.
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True False
True
Q03
Q03
Q03
A piecewise-defined function cannot have a limiting value.
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True False
False
Q04
Q04
Q04
The maximum value of
is always the same as the maximum value of
.
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Q05
Q05
Q05
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.
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Q06
Q06
Q06
If a is positive and
, then the limiting value of
is 0.
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Q07
Q07
Q07
When two functions are composed to make a new function, it makes no difference in which order the functions are used.
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Q08
Q08
Q08
The limiting value of
is always the same as the limiting value of
.
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Q09
Q09
Q09
Use a formula to express w as a function of t if
and
.
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Q10
Q10
Q10
Use a formula to express w as a function of t if
and
.
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Q11
Q11
Q11
Use a formula to express
as a function of t if
,
, and
.
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Q12
Q12
Q12
Use a formula to express w as a function of t if
and
.
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Q13
Q13
Q13
Use a formula to express w as a function of t if
and
.
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Q14
Q14
Q14
If
and
, find a formula for
.
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Q15
Q15
Q15
If
and
, find a formula for
.
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Q16
Q16
Q16
If
and
, find a formula for
.Assume that
.
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Q17
Q17
Q17
If
and
, find a formula for
.
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Q18
Q18
Q18
If
and
, find a formula for
.
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Q19
Q19
Q19
If
, find a formula for
.
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Q20
Q20
Q20
If
, find a formula for
.
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Q21
Q21
Q21
If
is the piecewise defined function
if
and
if
, find the value of
.
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Q22
Q22
Q22
If
, find a formula for
.
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Q23
Q23
Q23
If
and
, what is the value of w when
?
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Q24
Q24
Q24
If
and
, what is the value of w when
? Round your answer to two decimal places if necessary.
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Q25
Q25
Q25
If
and
, what is the value of w when
? Round your answer to two decimal places if necessary.
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Q26
Q26
Q26
If
and
, what is the value of w when
?
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Q27
Q27
Q27
Suppose
if
and
if
.Let
.What is the value of
)?
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Q28
Q28
Q28
Suppose
.Let
be the piecewise-defined function
if
, and
if
.What is the value of
)?
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Q29
Q29
Q29
If
and
, what is the value of
? Round your answer to two decimal places if necessary.
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Q30
Q30
Q30
If
and
, what is the value of
? Round your answer to two decimal places if necessary.
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Q31
Q31
Q31
If
and
, what is the value of
? Round your answer to two decimal places if necessary.
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Q32
Q32
Q32
If
, what is the value of
?
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Q33
Q33
Q33
If
, what is the value of
? Round your answer to two decimal places if necessary.
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Q34
Q34
Q34
Suppose
.If the limiting value of z is 0, what is the limiting value of w?
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Q35
Q35
Q35
Suppose
.If the limiting value of z is 4, what is the limiting value of w?
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Q36
Q36
Q36
Suppose
.If the limiting value of z is 5.31, what is the limiting value of w?
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