simplifying monomials
Subtract 6ab from 8ab
2ab
3, 9, 27
Find a7
2187
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
y= 2x
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
√72
6√2
(-a6b)2 + 9a12b2
1, 5, 25,
Find a7
15,625
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
y= 1/2 ⋅ 4x
Growth
All real #’s
Y>0
(0, .5)
Y=0
√245
7√5
(-4y3)2 ⋅ (xy4)3 + 7x3y18
16y12⋅ 8x3y18
-1, -4, -16
Find a7
-4096
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
Y= 2⋅ (1/3)x
Decay
All real #’s
Y>0
(0,2)
Y=0
3√500
53√4
r6s7t2
_____
r5s4t2rs3
729, -243, 81
Find a7
1
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
Y= {2/3}x + 2
Decay
All real #’s
Y>2
(0,3)
Y=2
√100x2y2
10xy
(5y2)-3
1/125y6
8, 12, 18
Find a7
91.125
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
y= 1/2X - 4
Growth
All real #’s
Y> -4
(0, -3.5)
Y=-4
√252xy2z3
6yz√7xz