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# Diana's Scrap Book

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### Diana's Scrap Book - Page Text Content

BC: Diana

FC: Diana's Scrap Book

1: Table of Contents | Page 2:Arithmetic Sequences Page 3:Associative property Page 4: Asymptote Page 5: Base Page 6:Commutative Property of Addition Page 7: Common Difference Page 8: Common Ratio Page 9: Common Interest Page 10: Dividing Exponent Page 11:Degree Page 12:Domain

2: Table of Contents | Page 13: Exponent Page 14: Exponential Decay Page 15:Exponential Function Page 16:Exponential Growth Page 17:Explicit rule vs Recursive rule Page 18:Function Page 19: Function Notation Page 20: Geometric Sequence Page 21:Monomial Page 22: Negative Exponent Page 23:Polynomial

3: Page 24: Power to a Product Page 25: Power to a Power Page 26: Range Page 27:Relations Page 28: Trinomial Page 29: Quotation to a Power Page 30: Zero to a Power

4: arithmetic Sequence | The difference between one term and the next is a constant. | ex: 1, 4, 7, 10, 13, 16,

5: Associative Property of Addition | The order of the operations can be changed or regrouped as long as the numbers or terms are not changed. | EX.(1+2)+3=1+(2+3)

6: Asymptote | The distance between the curve and the asymptote tends to zero as they head to infinity

7: Base | The number that is going to be raised to a power. | Ex: 5^7

8: Commutative Property of Addition | If changing the order of the numbers or terms does not change the end result. Addition and multiplication are commutative, while division and subtraction aren't. EX:1+2=2+1

9: Common Difference | The difference between each number in an arithmetic sequence. | Ex: 3, 5, 7, 9, 11

10: Common Ratio | The difference between each number in an geometric sequence. | Ex; 2, 4, 8, 16, 32, 64

11: Common interest

12: Dividing Exponents | This simply means ... when you are dividing, and the bases are the same, you SUBTRACT the exponents | EX 2^7 - 2^5 = 2^2

13: Degree | The greatest exponent in a polynomial or equation. | EX: 9^5+3^2+1^2 The Degree is 5.

14: Domain | All the possible value of the independent variable (input)x. | EX: (1,3) , (3,2) ,(5,1) | The Domain are 1,3,5

15: Exponent | The exponent of a number says how many times to use that number in a multiplication | Ex:5^2 the two is the exponent

16: Exponential Decay | Occurs when a quantity decreases by the same rate(r)in each (t) | EX: | x | y | 1 | 90 | 2 | 3 | 30 | 10

17: Exponential Function | a function whose value is a constant raised to the power of the argument EX f(x)^3

18: Exponential Growth | Occur when a quantity increases by the same rate(r) in each period

19: Explicit rules vs recursive rule | explicit rule: A formula that allows direct computation of any term for a sequence a1, a2, a3, . . . , an, . . . .

20: Function | A relationship that assigns exactly one output for each input value. | Input | output | 1 5 6 | 5 8 9 | EX:

21: Function Notation | Replaces the dependent variable y with either f(x), g(x), h(x). | Ex: f(x)=6x-20

22: Geometric Sequences | In a Geometric Sequence each term is found by multiplying the previous term by a constant

23: Monomial | A polynomial with one term. | Ex: 6x

24: Negative Exponent | if the bases are the same you subtract the exponent

25: Polynomial | An algebraic expression with one or more terms. | Ex: 3x^3

26: Product to a Power | Ex (xy)a = xa yb this means that you basically distubute the power to the product

27: pOWER TO A pOWER | This simply means ... when raising a power to a power, multiply the exponents. ex ( x^3)^5 = x^15

28: Range | All possible values of the dependent variable (output) y. | Ex: (2,5), (5,0), (1,3) The range are 0,3,5

29: Relation | Is a set of ordered pairs - a a relation can be set of ordered pairs. No special rules need apply. | Ex: (2,3), (4,5), (6,7)

30: Trinomial | a polynomial with three terms | Ex: 6x^2+2xy+1

31: Quotient to a Power | When you multiply two powers with the same base, you add the exponents. (That's the product of powers property.) So when you divide two powers with the same base, you subtract the exponents.

32: Zero Power | any number to the zero power is 1, and zero to any power is 0. ex 2^0 = 1

33: My Scrapbook :)

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