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MAth 171 Review

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MAth 171 Review - Page Text Content

S: Math is a beautiful subject !

FC: A YEAR IN REVIEW | Math - 171

1: Table of Contents | 1. Graphs Functions and Models 2. More on Functions 3. Quadratic Functions and Equations; Inequalities 4. Polynomial and Rational Functions 5. Systems of Equations and Matrices

2: "Math is like fudge ... mostly sweet with a few nuts." | Graphs Functions and Models | An X-Intercept is (B,0) so you let y=0 and solve [Domain] An Y-Intercept is (0,B) so you let X=0 and solve [Range] | Graphing an Equation is to make a drawing Representing the solutions

3: MAKING MEMORIES | More on Functions | Greatest integer Function: f(x)= [[x]] f(x)+g(x) ; 2x(squared)+ 2/x-5 Domain: "x-5" ; x-5=0 ; x=5 Even & Odd Functions: Even- Symmetric to "Y-Axis" - f(x) = f(-x) Odd- Smmetric to Origin - f(-x) = f(x)

4: Quadratic Functions and Equations | X= -b +- |b^2 -4 AC - DISCRIMINANT / 2A -3 +- |(3^2) - 4 (5)(-1) / 2 (5) -3 + - |29| / 10 X = -3 + |29 / 10 or X= -3-|29 / 10 | "I" 4x(squared) + 9 = 0 x (squared) = 9/4 x = |-9/4 or x=|-9/4 9/4i or - 9/4i redudece to 3/2i

5: { | { | Polonomial and Rational Functions | IV Theorm: x^3 + 3x^2 - 9x - 13 = (-18) x^3+2x ^2-9x-13 = (-11) Will not cross the X-Axis at 1 and 2 because there is no zero b/c both answer's are negative

6: Systems of Equations and Matrices | 2 [1 2] [4 3] = [2 4] [8 6]

7: 1 . Solve for "T" 2. Substitute 3. Substitute restrictions to restrict X | x=2t-1 , y=t^2 ; ; 3

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