3.1-3.4 review. directions take out a sheet of paper to answer all of the review problems. this will...
TRANSCRIPT
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
MILDLY SOMEWHAT MOSTLY TOTALLY
COSTUMED
MAN1 Pt of EC
on Testcookies munchkins Candy
WEIRD
MAN
Cookies 1 Pt of EC
on Test
Smiley on your next test High five
SICK
MANCandy Candy Candy
Pick your seats
for a week
ANGRY
MAN
Smiley on your next test Munchkins
Smiley on
your test1 pt of EC for the
quarter
Determine a formula for the exponential functin whose graph goes through the given point and has a
y-intercept of 2. (no calculator)
21,e
21,e
Determine a formula for the exponential functin whose graph goes through the given point and has a
y-intercept of 2. (no calculator)
21,e
State whether is an exponential
growth, decay, or neither.
1( )
x
e
f x
State whether is an exponential
growth, decay, or neither.
DECAY
1( )
x
e
f x
Calculator Ok
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.
0.000121620 tC e
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
Solve .128 4x
x
128 4x
xSolve
Given the logistic function
Find
100
5 7 0.4 xf x
limx
f x
Given the logistic function
Find
20
limx
f x
100
5 7 0.4 xf x
State the initial value of 100
5 7 0.4 xf x
State the initial value of 100
5 7 0.4 xf x
183
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 3log 59
3log 59Evaluate
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
Include the appropriate domain
1f x
42 3xf x
Find
Given
1f x
42 3xf x
Evaluate 7
1ln
e
Evaluate 7
1ln
e
Write as a single log
log log 2logc
a td
Write as a single log
log log 2logc
a td
State the domain and range of 2ln 5f x x
State the domain and range of 2ln 5f x x
Calculator okRound to three decimal places
Solve for x: 2 1 81xe
Solve for x:
Calculator Ok.
2 1 81xe
WITHOUT a Calculator evaluateGive an exact value.
1lim 1
x
x x
WITHOUT a Calculator evaluateGive an exact value
1lim 1
x
x x