Complete Test Prep: Precalculus, Part 1

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Topics by section in this volume (the first of four Parts):

1 − Graphing Equations

2 − Linear Equations

3 − Functions

4 − Evaluating Functions

5 − Analyzing Functions

6 − Graphs of Common Functions

7 − Additional Common Functions

8 − Shifts and Reflections of Functions

9 − Nonrigid Transformations of Functions

10 − Operations on Functions

11 − Inverse Functions

12 − One-to-One Functions

13 − Finding Inverse Functions

14 − Direct Variation

15 − Inverse and Joint Variation

16 − Graphing Quadratic Functions

17 − Vertex Form of Quadratic Functions

18 − Analyzing Graphs of Quadratic Functions

19 − Applications of Quadratic Functions

20 − Using Transformations to Sketch Graphs

21 − The Leading Coefficient Test

22 − Rational Expressions

23 − Long Division of Polynomials

24 − Synthetic Division

25 − The Remainder Theorem

26 − The Factor Theorem

27 − The Imaginary Unit

28 − The Complex Number System

29 − Addition and Subtraction of Complex Numbers

30 − Multiplication of Complex Numbers

31 − Division of Complex Numbers

32 − Complex Solutions

33 − The Fundamental Theorem of Algebra

34 − Descartes' Rule of Signs

35 − Rational Zeros

36 − The Intermediate Value Theorem

37 − The Upper and Lower Bound Rules

38 − Finding All Zeros of Polynomial Functions

39 − Using Zeros as Sketching Aids

40 − Domains of Rational Functions

41 − Vertical Asymptotes

42 − Horizontal Asymptotes

43 − Intercepts of Rational Functions

44 − Graphs of Rational Functions

45 − Applications of Rational Functions