5.1 – 5.4 Quiz Review

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Pg. 282/292 Homework
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#7
#17
#2
#4
#6
#8
#10
#12
#14
#16
#18
#20
$749.35
$884.61
x=1
x=4
x=0
x=2
Graph
Graph
x = 32
x=8
x=±½
x = 0, x = 2
#15
#1
#3
#5
#7
#9
#11
#13
#15
#17
#19
$230.43
x=2
x=3
x = -4
no solution
Graph
Graph
x = 81
x=5
9
x = 81
x=±3
5.1 – 5.4 Quiz Review
Solve for x:
2 8
3x
3x
2
5
8 4
1
log 3
x
27
x1
log2  x  4  6
Graph the following functions:
• Describe each
transformation and
determine the domain and
range.
y  3e x 1  3
y  4    2
 x 1
5.1 – 5.4 Quiz Review
Word Problems!! 
• Compare the values of a
$20,000 investment
compounded weekly at
6.75% APR for 10 years with
the same investment
compounded annually for
11 years at a 6.5% APR.
• Your goal is to save
$200,000 in 35 years. If you
put $325 dollars in an
account every month, at
what interest rate will your
account need to be
compounded monthly in
order to reach your goal?
5.1 – 5.4 Quiz Review
• Suppose the half-life of
a certain isotope is 30
days and there are 15
grams present initially.
– Find when there will be
6 grams remaining.
– Find when only one fifth
of the isotope remains.
– Find how many grams of
the isotope remain after
28 days.
• Suppose a culture of
100 bacteria are put in
a petri dish and the
culture doubles every
hour.
– Find when the number
of bacteria will be
350,000.
– Find when the number
of bacteria will be 10
times their initial size.
5.1 – 5.4 Quiz Review
• The half-life of a certain radioactive substance
is 21 days and there are 4.62 grams present
initially.
– Find an algebraic expression for the amount A of
substance remaining as a function of time.
– Find a complete graph of the function.
– When will there be less than 1 gram of the
substance remaining?
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