Exponential and Radical Form
Solve (No Calculator)
Growth and Decay
Word Problems
Powers of e
Other
100
Write in exponential form:
sqrt(2x-1)^ 3
(2x-1)3/2
100
3x3/2 - 1 = 80
x = 9
100
Determine if the function represents growth or decay and then state the growth/decay factor.
f(x) = 2.6 (3/8)x
Decay, b = 3/8
100
The number of ants in the colony were time is measured by months is modeled by y = 123(1.98)x. If this rate continues, how many ants will there be two years from now?
1,621,323,501
100
Using you calculator, what is the value of 12e-3?
0.597
100
Determine the % change:
f(x) = 3.2 (1. 325)x
32.5% increase
200
Write in radical form: (2x)2/3
3sqrt(2x)^2
200
3x-1 = 92x+3
x = -7/3
200
Determine if the function represents growth or decay and then state the growth/decay factor.
f(x) = -3 (4/5)-x
Growth, b = 5/4
200
The value of a rare diamond you found was initially valued at $12,600. Each year, the value of the coin will increase by 3.7%. How much will the coin be worth in 5 years?
$15,110
200
Simplify 2e3 x -3e5
-6e8
200
Simplify with no calculator:
3sqrt(64)^2
16
300
Write in radical form: 3x-2/5
3/(5sqrt(x)^2
300
-3-sqrt(2x+5)=-15
x=139/2
300
Answer each of the following for the function:
y=1/4(16)^x-6
Growth/Decay?
HA: y =
Domain:
Range:
List 3 points on the graph:
Growth
y = -6
All real numbers
(-6, infinity)
(-1, -5.984), (0, -5.75), (1, -2)
300
You deposit $30,000 into a high yield savings account where the 3.8% interest is compounded continuously. What will the balance of the account be in 20 years?
$64, 148.29
300
Simplify
(10e^(7x-4))/(15e^(3x-2))
(2e^(4x-2))/3
300
Simplify with no calculator: (625)-3/4
1/125
400
Write in exponential form:
2/(4sqrt(x+3)
2(x+3)-1/4
400
3sqrt(4sqrt(3x)^6)=(3x)^(x+1)
x=-1/2
400
Answer each of the following for the function:
y=-2(1/4)^(x-2)
Growth/Decay?
HA: y =
Domain:
Range:
List 3 points on the graph:
Decay
y = 0
All real numbers
(- infinity, 0)
(1, -8), (2, -2), (3, -0.5)
400
A companies first year of sales was $12 million. Now, the sales are compounded semi-annually by 2.3%. What will their sales be in 4 years?
$13 million
$13,149,472.86
400
Simplify (-4ex+1)-3
1/-64e3x+3
400
Find the % change:
62% decrease