3.1-3.4 Review
Directions
• Take out a sheet of paper to answer all of the
review problems. This will be collected for
participation points!
• The “Last Man Standing” will be your prize!
LAST MAN STANDING
COSTUMED
MAN
WEIRD
MAN
SICK
MAN
ANGRY
MAN
MILDLY
SOMEWHAT
MOSTLY
TOTALLY
1 Pt of EC
on Test
cookies
munchkins
Candy
Cookies
1 Pt of EC
on Test
Smiley on your
next test
High five
Candy
Candy
Candy
Pick your seats
for a week
Smiley on your
next test
Munchkins
Smiley on
your test
1 pt of EC for the
quarter
 2
 1, 
 e
Determine a formula for the
exponential functin whose
graph goes through the given
point  2  and has a
 1, 
 e
y-intercept of 2. (no
calculator)
Determine a formula for
the exponential functin whose
graph goes through the given
point  1, 2  and has a



e
y-intercept of 2. (no
calculator)
State
whether f ( x )   1 
e
x
is an exponential
growth, decay, or neither.
State whether
exponential
1
f (x )   
e
x
is an
growth, decay, or neither.
DECAY
Calculator Ok
The amount of C in grams of carbon-14 present
in a certain substance after t years is given by
C  20 e
 0.0001216 t
. When will half life occur?
Round to three decimal places.
The amount of C in grams of carbon-14 present in a certain
substance after t years is given by
. When will half life occur?
Round to three decimal places.
5700.224 years
x
Solve 8 2
4
x 1
.
x
Solve
82  4
x 1
Given the logistic function
Find
lim f  x  
x
f x 
100
5  7  0.4 
x
Given the logistic function
f x 
Find lim
x
20
f x 
100
5  7  0.4 
x
State the initial value of
f x 
100
5  7  0.4 
x
State the initial value of
8
1
3
f x 
100
5  7  0.4 
x
Find the logistic function that satisfies the given condition:
Initial value=10, limit to growth=40, passing thorugh (1,20)
Find the logistic function that satisfies the given condition:
Initial value=10, limit to growth=40, passing thorugh (1,20)
Evaluate
9
log 3 5
Evaluate
9
log 3 5
The population in Smallville in the year 1890 was 6250.
Assume the population increased at a rate of 2.25% per
year. When will the population reach 50,000? You may
use your calculator.
The population in Smallville in the year 1890 was 6250.
Assume the population increased at a rate of 2.25% per year.
When will the population reach 50,000? You may use your
calculator.
If I have a substance with an initial mass of
592g. If the substance quarters every 6 days,
when will the substance have a mass of 74g?
Calculator ok.
If I have a substance with an initial mass of 592g. If the
substance quarters every 6 days, when will the substance
have a mass of 74g?
Find
Given
f
1
x
f x  2  3
x4
Include the appropriate domain
Find
Given
f
1
x
f x  2  3
x4
Evaluate
ln
1
e
7
Evaluate
ln
1
e
7
Write as a single log
c


log a   log  2 log t 
d


Write as a single log
c


log a   log  2 log t 
d


State the domain and range of f  x   2 ln  5  x 
State the domain and range of f  x   2 ln  5  x 
Solve for x:
e
2 x 1
 81
Calculator ok
Round to three decimal places
Solve for x:
e
2 x 1
Calculator Ok.
 81
WITHOUT a Calculator evaluate lim  1  1 


x
Give an exact value.
x

x
1

WITHOUT a Calculator evaluate lim  1  
x
x

Give an exact value
x