Fiona’s Final Test

simplifying monomials

Geometric Sequence

Exponential growth and Decay

Graphing Exponential Functions

Simplifying Radicals

100

Subtract 6ab from 8ab

2ab

100

3, 9, 27

Find a₇

2187

100

The original value of an investment is $1400, and the value increases by 9% each year. Use an exponential growth function to find the value of the investment after 25 years.

$12,072.31

100

y= 2^x

Growth or decay?

Domain?

Range?
y-intercept?

Asymptote?

X= -2 Y= 16 Growth

-1 4 All reals

0 1 Y>0

1 .25 (0,1)

2. .0625. Y=0

100

√72

6√2

200

(-a⁶b)^{2 +}9a¹²b²

10a¹²b²

200

1, 5, 25,

Find a₇

15,625

200

The number of student athletes at a local high school is 300 and is increases at a rate of 8% per year. Use an exponential function to find the number of student athletes after 5 years.

440 student athletes

200

y= 1/2 ⋅ 4^x

Growth

All real #’s

Y>0

(0, .5)

Y=0

200

√245

7√5

300

(-4y³)² ⋅ (xy⁴)³+ 7x³y¹⁸

16y¹²⋅ 8x³y¹⁸

300

-1, -4, -16

Find a₇

-4096

300

The population of a town is decreasing at a rate of 1% per year. In 2000 there were 1300 people. Use an exponential function to find the population in 2008.

1200 people

300

Y= 2⋅ (1/3)^x

Decay

All real #’s

Y>0

(0,2)

Y=0

300

³√500

5³√4

400

r⁶s⁷t²

^_____

r⁵s⁴t²

rs³

400

729, -243, 81

Find a₇

400

An investment of $8200 loses value at a rate of 2% per year. Use an exponential function to find the value of the investment after 9 years.

$6836.73

400

Y= {2/3}^x + 2

Decay

All real #’s

Y>2

(0,3)

Y=2

400

√100x²y²

10xy

500

(5y²)-3

1/125y⁶

500

8, 12, 18

Find a₇

91.125

500

In 1985, there were 285 cell phone subscribers in Maryville. The number of subscribers increased by 75% per year after 1985. Find the number of subscribers in 2008.

110, 845, 988 subscribers

500

y= 1/2^X - 4

Growth

All real #’s

Y> -4

(0, -3.5)

Y=-4

500

√252xy²z³

6yz√7xz