ch 8 exponents and exponential functions

Ch 8 Exponents and Exponential Functions

Ch 1 Connections to Algebra-variables, exponents and powers, order of operation, equations and inequalities, tables and graphs

Ch 2 Properties of Real Numbers-addition, subtraction, multiplication, division, matrices, probability and odds

Ch 3 Solving Linear Equations-adding and subtracting, multiplying and dividing equations, decimal equations, formulas, rates, ratios, percents

Ch 4 Graphing Linear Equations and Functions-coordinates and scatter plots, quick graphs with intercepts, slope, direct variation, quick graphs using slope-intercept, solving equations by graphing, functions and relations

Ch 5 Writing Linear Equations-using slope-intercept form, given slope and a point, given two points, best fitting line, point-slope form, standard form, predicting with linear models

6.1 Solving One-Step Linear Inequalities x + 8 > 1

6.2 Solving Multi-step Linear Inequalities 5x – 3 > 12

6.3 Solving Compound Inequalities -5<2x + 3 < 7

6.4 Solving Absolute-value Equations and Inequalities

|x-4|=8 |5x+1|+3 =14

6.5 Graphing Linear Inequalities in Two VariablesGraph x + y > 3

6.6 Stem and leaf plots; mean, median, mode

6.7 Box and whisker plots

Ch 8 Exponents and Exponential Functions

Summary

Rule

73•72=75 aman = am+n

Summary

Rule

= (am)n = amn

8.1 p453-455 # 60-68 even, 75-79, 82-84

8.1 p453-455 # 60-68 even, 75-79, 82-84

75.) V=4/3 π r3 r=3a

V=4/3 π(3a)3

V=4/3 π(3)3a3

V=(4/3)(27) πa3

V=36πa3 or 113.04a3

76.) V=(1/3) πr2h h=24 r=2b2

V=(1/3) π(2b2)2(24)

V=(1/3) π(22)(b2)2(24)

V=(1/3) π(4)(b4)(24)

V=32 πb4 or 100.48b4

8.1 p453-455 # 60-68 even, 75-79, 82-84

79)a)

Total possible answers =

Part A + Part B

210+410 =210 +(22)10

210+220

230 ways to answer all 20 questions

8.1 p453-455 # 60-68 even, 75-79, 82-84

X 2x

-3

-2

-1

0

1

2

3

8.2 p459 14-44 even

8.2 p460 #46-48, 50-64 even,66-70 all

8.2 p460 #46-48, 50-64 even,66-70 all

X (1/5)x

-3

-2

-1

0

1

2

3

8.2 p460 #46-48, 50-64 even,66-70 all

X (5)x

-3

-2

-1

0

1

2

3

8.2 p460 #46-48, 50-64 even,66-70 all

X 3x (1/3)x

-2

-1

0

1

2

3

8.2 p460 #46-48, 50-64 even,66-70 all

8.3 p466 20-48 even

8.3 p467-469 #49-66

Height (0)=.0032

Height (1) = 2(.0032)

Height (2) = 2(2(.0032))

Height (3) = 2(2(2(.0032)))

Height (4) = 2(2(2(2(.0032))))

Height (25) = 225(.0032) = 107,374.18 inches or 8947.5 feet

To review for the quiz over 8.1-8.3

Review quiz on p469

X (5)x

-3

-2

-1

0

1

2

3

a. 34,690

b. 1.78

c. 0.039

d. 0.000722

e. 5,600,000,000

8.4 p473-475 #16-56 even, 58-60,62

W=C(1+r)t

C=0.3 grams

R=.10

T=1 day

C=0.3 grams

R=.10

T=42 days

http://www.youtube.com/watch?v=pgPhn4tYxJQ

P=C(1+r)tC=20 rabbitsR=200% T=5 years

http://www.youtube.com/watch?v=pgPhn4tYxJQ

Y= C(1+r)t

C=$500

R=.04

T=5 and 10

Y=500(1+.04)5

=$608.33

Y=500(1+.04)10

=$740.12

http://www.ecalc.com/


8.5 480 #6-16 even, 18-24,29-31

8.5 480 #6-16 even, 18-24,29-31

21.) Y=10,000(1+.25)t t=0 to 10

21.) Y=20,000(1+.20)t t=0 to 10

C=10,000

C=20,000

1 10,000 20,000

2

3

5

10 93,132 123,834

8.5 480 #6-16 even, 18-24,29-31

P=C(1+r)t

C=30

R=100, Growth factor=200

T=4

P=30(1+1)4

P=30(2)4

P=30(16)

P=480 mice in 4 years

0 30

1

2

3

4

8.5 480 #6-16 even, 18-24,29-31

Exponential Growth

Y=C(1+r)t

(1+r)>1

Exponential DecayY=C(1-r)t

(1-r)<1

8.6 p488 #10-26,(27-29, 31-34,35-39)


T=C(1-r)t

T=20,000(1-.15)^3

T(3)=$12,292.50

T(8)=20,000(1-.15)^8

T(8)=$5,449.81

T(10)=20,000(1-.15)^10

T(12)=20,000(1-.15)^12


8.6 p488 #10-26,(27-29, 31-34,35-39)

8.6 p488 #10-26,(27-29, 31-34,35-39)

0 64

1

2

3

4

5

6

8.6 p488 #10-26,(27-29, 31-34,35-39)

Cable Car Miles=302 (1-.10)^t t=1 to 9

Year Year

Miles

1894 0 M=302(1-.1)^0= 302

1896 2 M=302(1-.1)^2=244

1898 4 M=302(1-.1)^4=198

1900 6 M=302(1-.1)^6=161

1901 7 M=302(1-.1)^7=144

1903 9 M=302(1-.1)^9=117



8.6 p488 #10-26,(27-29, 31-34,35-39)

0 Example=$40

1

2

3

4

5

Sweater=C(1-.2)t t=0 to 5



8.6 p488 #10-26,(27-29, 31-34,35-39)



8.6 p488 #10-26,(27-29, 31-34,35-39)

T y=4^t

-3

-2

-1

0

1

2

3

Graphing Calculator

http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html

ch 8 exponents and exponential functions

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