Exponent Laws
3^2 x 3^4
3^6
(0.59)^8 Is this an example of exponential growth or decay?
Decay (b is between 0 < b < 1)
x y
-1 0.5
0 1
1 2
2 4
3 8
Exponential (ratio of y values is "2")
x^8 / x^9
x^ -1
(1.2)^8 Is this an example of exponential growth or decay?
Growth (b is greater than one).
x y
-3 -9
-2 -6
-1 -3
0 0
1 3
Linear (first differences are the same)
What is an asymptote?
A line that is never touched by the graph
(y)^-4
1/y^4
The function for a moldy sandwich's bacteria growth is (6)(1.15)^(t/2). What is the growth rate of bacteria?
(1.15 - 1) x 100
0.15 x 100
15%
x y
-2 8
-1 2
0 0
1 2
2 8
Quadratic (second differences are the same: "4")
Who is this character?
Tralalero Tralala
(3y^4)^3
27y^12
The function for a moldy sandwich's bacteria growth is (6)(1.15)^(t/2). (t is the number of days). What is the amount of bacteria (in thousands) after 4 days have passed?
13 500
x y
0 3
1 5
2 7
3 9
Linear (first differences are the same: "2")
x^(6/5) can be written
(5 root x)^6
(8x^5 x 2x^3) / 4x^2
4x^6
The function for a moldy sandwich's bacteria growth is (6)(1.15)^(t/2). What is the total amount of bacteria in thousands when NO time has passed?
6 000
x y
0 1
1 3
2 9
3 27
Exponential Function (y-values multiply by same number of "3")
What is my MIDDLE NAME?
Robert
Ronald
Constantine
Reid
Rick
Reid