Post on 05-Jan-2016
caby x Exponential Growth Exponential Decay
(0,a) (0,a)Exponential Parent Fcn: Growth: b > 1Decay: 0 < b < 1H.Asymptote: y = 0y-int is a_(1 on parent fcn) Shifts: Horiz: set power of “b” equal to _0_ & solveVert shift: look at _c__H. Asympt: is at _c__
Add the info in red to your WS
8.0
caby x
This matches your HW #1
H. Asymptote:Domain:Range:Y-intercept:
X Y
-1 Base -1
0 Base 0
1 Base1
2 Base2
3 base3
1
4
¼
All reals xY > 0
(0,1)
Y= 0
Notice when b>1 we have exponential growth
16
64
+ 0
This matches your HW #4
Domain:Range:Y-intercept:H. Asymptote
X Y
-1 Base -1
0 Base0
1 Base1
2 Base2
1
4
¼All reals x
Y > 0(0,1)
x
4
1
1/16
Y = 0
Notice when 0<b<1 we have exponential decay
+ 0
xaby
Causes a _________________ in the graph1a
10 a Causes a _________________ in the graph
0a Causes a _____________ in the x-axis
kaby hx
“h” causes a _______________________ in the graph
“k” causes a _______________________ in the graphVertical Translation
Vertical Shrink
Reflection
Horizontal Translation
Vertical Stretch