Writing Exponential Functions
Is the following growth or decay: f(x) = 2x
What is growth
Identify the y-intercept and constant ratio of the function f(x)=3(1.5)x
y-int= 3 or (0,3)
constant ratio= 1.5
The population in the town of Huntersville is presently 38,300. The town grows at an annual rate of 1.2%. Find the number population of the town after 9 years.
Approximately 42,640 people
Write the recursive formula for a geometric sequence
An = r * an-1
A1 = ____
Define asymptote and identify the asympotote of this function: f(x)=5(6)x
Asymptote is a line that a function gets closer and closer to but does not touch.
y=0
Is the following growth or decay: f(x)=100*(0.5)x
What is decay
What is the domain and range of the function?
f(x)=1/2(9)x
Domain- ARN
Range- y>0
$1,200 is invested and compounded semiannually at a rate of 2% interest. How much money will the account have after 12 years?
$1524
Write the explicit formula for a geometric sequence
An = A1 * r n-1
The best superpower is...
Ultimate persuasion
The Hippityhoppity bunny decided to have a family reunion at the Magic Forest every 5 years. During the second reunion the family discovered that the number of family members was 154 and was growing at an annual rate of 3.2%. Write an equation to model the growth of the bunny family.
What is f(x) = 154(1.032)^x
Write the Equation of this function:
f(x)=2x
The population in the town of Deersburgh is presently 42,500. The town has been growing at a steady rate of 3%. What will the population of the town be in 5 years?
Approximately 49,269 People
What is the explicit formula for this sequence:
3, 2, 4/3, 8/9, 16/27...
an=3(2/3)n-1
How long has Mr. P been with his girlfriend?
6.5 years
A CD has an interest rate of 3% compounded monthly. The initial amount put in the CD was 250. Write an equation to find the amount of money in the account.
f(x) = 250(1+0.03/12)^12x
Write the function for this table:
x: -2 -1 0 1 2
y: 32 16 8 4 2
f(x)=8(1/2)x
The value of a car was $22,000 when it was purchased. They car depreciates at a rate of 19% per year. How much will the car be worth in 8 years?
$4,076.64
Write the recursive and explicit formula for this geometric sequence:
5.29; 12.167; 27.9841, ...
Recursive: An=2.3*An-1 A1=5.29
Explicit= 5.29(2.3)n-1
Mr. P's biggest fears include...
-Being drafted into the military
-Birds or animals with flapping wings
-Being swept out into the ocean
A Money Market account has an APY of 0.2%. Write an equation to model the amount of money in the account if you start with a $1,234 deposit.
f(x) = 1234(1+0.002)^x
Write the function for this table:
x: -2 -1 0 1 2
y: 1.75 3.5 7 14 28
f(x)=7(2)x
Supertown has 50 residents. Lametown has 30,000 residents. If Supertown's population grows by 13% each year and Lametown's population decreases by 3% each year, in about how many years will their populations be equal?
About 42 years:
Supertown: 50(1+0.13)^x
Lametown: 30000(1-0.03)^x
Write the explicit formula and determine the 8th term:
9, 3, 1/3, 1/9...
Explicit: An=9(1/3)n-1
8th term: 1/243 = 0.0041152263
Mr. P's highest grades were in...
English class