CHAPTER 1 Functions 9
1.1 Definition of a function 9
1.2 Composition functions 13
1.3 Modulus or absolute value functions 14
1.4 Inverse functions 16
1.5 Transformations 19
CHAPTER 2 Quadratics 29
2.1 Quadratic functions 29
2.2 Maximum and minimum value by completing the square 31
2.3 Solving quadratic equations 32
2.4 Solving quadratic inequalities 34
2.5 Discriminant of a quadratic equation 35
CHAPTER 3 Indices and surds 43
3.1 Simplifying expressions involving indices 43
3.2 Solving equations involving indices 45
3.3 Simplifying expressions involving surds 47
3.4 Rationalizing the denominator 48
3.5 Solving equations involving surds 49
CHAPTER 4 Factors of polynomials 57
4.1 Operations with polynomials 57
4.2 Finding zeros of a polynomial function 59
4.3 The remainder theorem 60
4.4 The factor theorem 62
4.5 Rational zeros theorem 64
4.6 Graphing cubic functions 67
4.7 Solving cubic inequalities graphically 68
CHAPTER 5 Logarithmic and exponential functions
