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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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A. Zeros of a Polynomial

B. Zeros and Multiplicities
1.zero at  -5/2 mult. 1 and zero at 2 mult. 2
2. zero at –2 with mult. 1 and zero at 1 with mult. 2
3. zeros at –4, 5/3, –5 with mult. of 1 for each.

C. End Behavior of Polynomials
1. rises left, falls right
2. falls left, falls right
3. falls left, rises right

D. Long or Synthetic Division

E. More with polynomials and zeros
1. 0, multiplicity 4; –3, multiplicity 2; 7, multiplicity 8
2. p(x) = (x2 + 9)(x + 4)2
3.

F. Vertical Asymptotes
1. x = −1 and x = 1

3. x = 2

G. More with rational functions

H. Applications of Rational Functions
1. 5 hundred
2. 15 is the H.A., the average cost when producing a great number of games is \$15.
3. 0.16 ppm is the concentration after a long time.

I. Rewrite in the equivalent logarithmic for 2. ln(5) = 3x

J. Rewrite in the equivalent exponential form 1. 2.

K. Compound interest
1. a) \$31,050.37 b) \$31,078.69
2. a) \$13,745.79 b) \$14,861.26

L. Properties of Logarithms
1. 5log(x) + 7 log(y) − 3log(z)

M. Exponential Equations

N. Domain of Logarithms function
1. a) (−∞,3) b) (− 4,∞)

O. Logarithms Equations

P. Applications of Exponential Equations
1. 15.93 days

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