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

3

1

4

3)(

1

x

xf

3

1

4

3)(

10

xf

3

1

3

4)(

xf

3

5)( xf

3

5,0

Find the y-intercept:

4

14)( 1 xxf

Find the x-intercept:

4

140 1 x

144

1 x

11 44 x

11 x

x 2

)0,2(

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