
Introduction to Exponential Equations
Presentation
•
Mathematics
•
11th Grade - University
•
Hard
Joseph Anderson
FREE Resource
4 Slides • 12 Questions
1
2
Poll
Let's see what we know about exponential functions already! Click on all options that you think represent an exponential relationship
f(x)=2x
f(x)=x2−16
f(x)=(21)x
f(x)=x3
3
Poll
Can you determine which graph below represents exponential DECAY?
I really have no clue, I've never heard of an exponential
f(x)=x3
4
Write this down:
5
Given that f(x)= abx, why does it make sense that a cannot = 0? What kind of function would you have if a = 0?
Given that f(x)= abx, why does it make sense that b cannot = 1? What kind of function would you have if b=1?
6
Multiple Choice
What type of function is
y=7(5)x ?
Exponential Growth
Exponential Decay
Linear
None of the above
7
Multiple Choice
What is the y-intercept of this function
f(x)=2(71)x ?
(0, 1/7)
(0, 7)
(0, 2)
(2, 1/7)
8
Multiple Choice
What type of function is
f(x)=2(1)x ?
Exponential Growth
Exponential Decay
None of the Above
9
Can you find the rate of exponential growth/decay?
10
Multiple Choice
Find the growth rate "r" (as a percentage) given the function: f(x)=3(1.02)x
1.02%
2%
.02%
200%
11
Multiple Choice
The function shows the growth of a fruit fly population. f(t) is the number of fruit flies after t days.
What is the initial population of the fruit flies?
100
1.05
105
95
12
Multiple Choice
y = 15(35)x
y = 15(1.35)x
y = 15(0.35)x
y = 35(1.15)x
13
Multiple Choice
y=5000(0.7)x
y=30(5000)x
y=5000(1.3)x
y=5000xx
14
Multiple Choice
Hannah deposits $3000 in a savings account that pays interest at an annual rate of 4%. If no other money is added or withdrawn from the account, how much will be in his account after 10 years?
$3122.18
$4994.50
$4440.73
$86,776.40
15
Multiple Choice
JP buys a new computer for $2100. The computer's worth decreases by 50% annually. How much is it worth after 2 years?
225
325
425
525
16
Poll
In general, this is how I feel about what we learned today:
I do not understand it AT ALL
Ehh...I feel "exponentially" better than I did 50 minutes ago, but still not 100%
I feel really good!
Show answer
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