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# Math 171

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S: Precalculus Graphs &Models {Math 171}

BC: My Reflection I have really enjoyed being in MATH 171. I know i wasn't the best student that i could've been and i know you are truly disappointed in me. You are a great teacher, thanks for teaching me not only the concept of math but life learn lessons. I can actually say I LOVE YOU Mrs.Pitt. P.S. Thanks for not cursing!! (:

FC: A Year In Review | By :Kimberly Graham

1: Chapter 1 Section 1 X & Y Intercepts An x-intercept is point (a,0). Let y=0 and solve for x. An y-intercept is a point (0,b). Let x=0 and solve for y.

2: "Math 171 is like fudge ... mostly sweet with a few nuts." | Test of Symmetry x-axis: If replacing y with -y produces an equivalent equation, then the graph is symmetric with respect to the x-axis. y-axis: If replacing x with -x produces an equivalent equation, then the graph is symmetric with respect to the y-axis. Origin: If replacing x with -x and y with -y produces an equivalent equation, then the graph is symmetric with respect to the origin.

3: The Number i The number i is i^2=-1 Complex Numbers A complex number is a number of the form a +bi where a and b are real numbers.

4: If n is even, and an > 0 If n is even, and an < 0 If n is odd, and an > 0 If n is odd, and an < 0

5: Completing the Square

6: Even & Odd Multiplicity *k is odd, then the graph crosses the x-axis at (c,0) *k is even, then the graph is tangent to the x-axis at (c,0)

7: "The things we learn on the path of life make the trip worth while." | Discriminant b^2-4ac= 0--> 1 real number solution b^2-4ac=0 > 2 diff real-number solutions b^2-4ac=0 < 2 diff i-numbers solutions, complex conjugates.

8: Parametric Equation Steps 1-3 1. Solve for T 2. Substitute t in 2nd problem, solve for y 3. Put restrictions on x REMINDER: Restrictions put in Tmin & Tmax

9: Inverse of a Matrix For a n x n matrix A, if there is matrix A^-1 for which A^-1*A=I=A*A^-1, then A^-1 is the inverse of A.

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