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LP3 odd.even functions.notebook

1

December 12, 2018

Warm Up: If f(x) = x3 + 4:(a) find f-1(x)(b) Prove this is the inverse


2

December 12, 2018

Today I can identify even & odd functions.

If you substituted (-x) for all x-values, you get back the original function

look at the table in the calculator:


3

December 12, 2018

How to determine even, odd, or neither algebraically????

A function f is even iff each x in the domain of f..... f (x) = f (x).

Plug in x for each x & get original back!!!


4

December 12, 2018

If you substituted (-x) for all x-values, you get back the negation of the function



5

December 12, 2018


A function f is odd iff each x in the domain of f..... f (x) = f (x).

Plug in x for each x & factor out a 1!!!


6

December 12, 2018


If you substituted (-x) for all x-values, you neither get back the original nor negation of the function


7

December 12, 2018


If neither rule works, then it is neither even nor odd!!!


8

December 12, 2018

b


9

December 12, 2018

a


10

December 12, 2018

Determine whether each f(x) is even, odd, neither. 1) even

2) odd3) neither4) neither5) neither


11

December 12, 2018

Determine whether each f(x) is even, odd, neither.

a) f(x) = x2-5

b) g(x) = x3-1

c) h(x) = 5x3-x

a) Evenb) Neitherc) Odd


12

December 12, 2018


13

December 12, 2018

Homework

: Finish an

ything

from the pr

evious pag

es in the

packet that

we didn't

get to in

class.

Attachments

Mental Math Multiplication.ppt

Simplifying Rational Exponents.pdf

Mental Math

Multiplication

Number 1 - 8

3

2

1

1.)

6 x 7

2.)

8 x 4

3.)

7 x 8

4.)

9 x 4

5.)

13 x 4

6.)

11 x 13

7.)

15 x 11

8.)

12 x 11

Answers

1.) 42

2.) 32

3.) 56

4.) 36

5.) 52

6.) 143

7.) 165

8.) 132

SMART Notebook

©X 32y0Z1m29 YKluWt9aB rSHotfNt5w3a3rWeh 7L0LQCv.f j hA3lZlq 9r2iog5hntdsu Wr9e9sEemrCv2e8dX.j v mMyaGdNef EwDittxhK hIMnifUiUntiltret MAMlqgge8bjrpaz 42h.d Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________Simplifying Rational Exponents

Simplify.

1)

(

n4)

3

22)

(27

p6)

5

3

3)

(25

b6)−1.5

4)

(64

m4)

3

2

5)

(

a8)

3

26)

(9

r4)0.5

7)

(81

x12)1.25

8)

(216

r9)

1

3

Simplify. Your answer should contain only positive exponents with no fractional exponents in the

denominator.

9)

2

m2 ⋅

4

m

3

2 ⋅

4

m−2

10)

3

b

1

2 ⋅

b

4

3

11)

(

p

3

2 )−2

12)

(

a

1

2 )

3

2

-1-

©5 D2i041T23 AKtuctDaX 0S2oVfat6wra8rMeq CLpLxCK.V 5 CAhl7l1 NrsiJgRhvtqsS TrIeLsMevrDvPe1dj.R 5 eMOardOey zwaintZhG EIXnsfwiqnBi1tSeT UAOlOgkeBbMrsaz W2A.m Worksheet by Kuta Software LLC

13)

2

x

−7

4

4

x

4

3

14)

4

x2

2

x

1

2

15)

3

x

−1

2 ⋅

3

x

1

2

y

−1

3

3

y

−7

4

16)

3

y

1

4

4

x

−2

3

y

3

2 ⋅

3

y

1

2

17)

(

m ⋅

m−2

n

5

3 )2

18)

(

a−1

b

1

3 ⋅

a

−4

3

b2)

2

19)

(

x

1

2

y−2

y

x

−7

4)

4

20)

(

x3

y2)

3

2

(

x−1

y

−2

3 )

1

4

21)

(

x

−1

2

y2)

−5

4

x2

y

1

2

22)

(

x

−1

2

y4)

1

4

x

2

3

y

3

2 ⋅

x

−3

2

y

1

2

-2-

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Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________Simplifying Rational Exponents

Simplify.

1)

(

n4)

3

2

n6

2)

(27

p6)

5

3

243

p10

3)

(25

b6)−1.5

1

125

b9

4)

(64

m4)

3

2

512

m6

5)

(

a8)

3

2

a12

6)

(9

r4)0.5

3

r2

7)

(81

x12)1.25

243

x15

8)

(216

r9)

1

3

6

r3

Simplify. Your answer should contain only positive exponents with no fractional exponents in the

denominator.

9)

2

m2 ⋅

4

m

3

2 ⋅

4

m−2

32

m

3

2

10)

3

b

1

2 ⋅

b

4

3

3

b

11

6

11)

(

p

3

2 )−2

1

p3

12)

(

a

1

2 )

3

2

a

3

4

-1-

©7 P2i0U1v2n 5Kpuitka1 7SToCfLtOwBadrVeN RLtLCCv.p a 7AklHle LrYiNgGhDtWs2 drdeLsie7rtvGeIdD.g U yMia4dneG Cw9irtghl NIMnmfHiwn1imtoeT 4AhlPgFe0bArtaY 72A.x Worksheet by Kuta Software LLC

13)

2

x

−7

4

4

x

4

3

x

11

12

2

x4

14)

4

x2

2

x

1

2

2

x

3

2

15)

3

x

−1

2 ⋅

3

x

1

2

y

−1

3

3

y

−7

4

3

y

17

12

16)

3

y

1

4

4

x

−2

3

y

3

2 ⋅

3

y

1

2

x

2

3

y

1

4

4

y2

17)

(

m ⋅

m−2

n

5

3 )2

n

10

3

m2

18)

(

a−1

b

1

3 ⋅

a

−4

3

b2)

2

a

1

3

b

14

3

a5

19)

(

x

1

2

y−2

y

x

−7

4)

4

x9

y12

20)

(

x3

y2)

3

2

(

x−1

y

−2

3 )

1

4

y

19

6

x

19

4

21)

(

x

−1

2

y2)

−5

4

x2

y

1

2

x

5

8

y3x2

22)

(

x

−1

2

y4)

1

4

x

2

3

y

3

2 ⋅

x

−3

2

y

1

2

x

17

24

y

-2-

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com

SMART Notebook

Page 1: Nov 17-8:47 AMPage 2: even & oddPage 3: even & oddPage 4: even & oddPage 5: even & oddPage 6: even & oddPage 7: even & oddPage 8: even & oddPage 9: even & oddPage 10: even & oddPage 11: even & oddPage 12: Oct 16-11:33 AMPage 13: Nov 17-9:01 AMAttachments Page 1

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