Key Features Expon. f(x)'s
Growth or Decay
Growth or Decay
Trivia
Word Problems
100
y=a(bx )
What does "a" represent?
What does "b" represent?
a=initial amount/y-intercept
b=multiplier
100
How do I know if an exponential function is exponential decay from an equation?
If the b is in between 0 and 1
100
A bunny population doubles every 6 months. If the starting population is 10, how many will you have after 3 years? What is the initial population? What is the growth factor?
initial population = 10
growth rate = 2
y=10(2)x
y = 10 (2)6 = 640
100
Which artist is known for the albums Midnights and 1989?
A) Olivia Rodrigo
B) Billie Eilish
C) Taylor Swift
D) Ariana Grande
C
100
2243
200
What is the y-intercept and growth factor for the function f(x)=2(3)x
y-intercept=2
growth factor= 3
200
f(x)=.25(1.3)x
Does this functions represent exponential growth or decay?
Exponential Growth
200
In exponential functions, when b>1 this will cause an exponential growth or decay?
Exponential growth
200
In Minecraft, which material do you need to mine diamonds?
A) Stone pickaxe
B) Iron pickaxe
C) Wooden pickaxe
D) Gold pickaxe
B
200
A student posts a new dance challenge on TikTok. On the first day, 8 people post videos doing the dance. Each day after that, the number of videos becomes 2 times the number from the previous day.
Write an exponential function that models the number of videos posted after d days.
y = 8 (2)x
300
What is the y-intercept?
y-intercept = (0, 1)
300
f(x)=a(.93)x
Does this functions represent exponential growth or decay?
Exponential Decay
300
f(x)=a(1.07)x
Does this functions represent exponential growth or decay?
Exponential Growth.
300
In Stranger Things, what is the name of the alternate dimension?
A) The Dark World
B) The Backrooms
C) The Upside Down
D) The Shadow Realm
C
300
A streaming platform releases a new show. On the first day, 1,200 students at a middle school watch it. Each day after that, the number of students watching the show is 1/2 of the number from the previous day.
Write an exponential function that models the number of students watching after t days.
y=1,200 (1/2)t
400
What's the growth factor?
b=2
400
1. Is this growth or decay?
2. What's the equation?
Growth
y = 3 (2)x
400
Does the graph represent exponential growth or decay?
Exponential Growth
400
What is the name of Thor’s hammer?
A) Stormbreaker
B) Asgard
C) Thunderstrike
D) Mjolnir
D
400
Is the function exponential growth or decay?
What is the Growth/Decay Factor? 
Decay
1/2
500
What is the difference between linear functions and Exponential functions?
Linear has a constant difference
Exponential has a multiplier
500
Ms. Wiggins purchased a car for 26,400 and every year it decays by 1/8. What can she expect the value of her car to be after 5 years?
f(x)=26400(7/8)5= $3476.54
500
Annual sales of a fast food restaurant are $530,000 each year the revenue is 1/12 higher than the last. What will the annual sales be in 6 years?
530,000(13/12)6 = 856,738.94
500
What song helped Max escape Vecna in Season 4 of Stranger Things?
A) Running Up That Hill
B) Take On Me
C) Sweet Dreams
D) Don’t Stop Believin’
A
500
y = 243 (2/3)x