
Exponential Functions: Growth and Decay
Presentation
•
Mathematics
•
9th Grade
•
Hard
+2
Standards-aligned
Carson Costa
Used 707+ times
FREE Resource
9 Slides • 8 Questions
1
By Carson Costa
2
3
Multiple Choice
Use desmos.com/calculator to determine which table matches the function
f(x)=2(3)x
4
The constant multiplier is bigger than 1. Meaning the starting value is keeping 100% of its value and adding some percent.
5
Multiple Select
Which of these functions is a growth function? Check all that apply.
f(x)=7(1.2)x
f(x)=5(0.8)x
f(x)=0.5(3)x
f(x)=3(34)x
6
Multiple Choice
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
y = 15(35)x
y = 15(1.35)x
y = 15(0.35)x
y = 35(1.15)x
7
Multiple Choice
Use desmos.com/calculator to determine which table matches the function
h(x)=12(31)x
8
The constant multiplier is between 0 and 1. This number comes from subtracting the decay rate from 100% of the original starting value.
9
Multiple Choice
Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?
$176,783.29
$424,527.63
$57,357.75
$532,041,076.80
10
11
Multiple Choice
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
y=5000(0.7)x
y=30(5000)x
y=5000(1.3)x
y=5000xx
12
13
Multiple Choice
Moody's Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
$23,219.72
$136.72
$51,710.94
$16,710.94
14
15
Fill in the Blanks
If the functions is growing at a rate of 2.7%, the b value is
Type answer...
16
(Parent Function)
g(x) = 2x + 3 represents a vertical shift up 3
h(x) = 2x - 3 represents a vertical shift down three
17
If a or b are negative, it causes an x-axis reflection.
x | y |
|---|---|
-2 | -1/4 |
-1 | -1/2 |
0 | -1 |
1 | -2 |
2 | -4 |
By Carson Costa
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