CONTENTS Introduction
vi
1 Exponents and logarithms
1
1.1 Solving exponential equations
3
1.2 Solving disguised quadratic equations
4
1.3 Laws of logarithms
5
1.4 Solving equations involving logarithms
6
1.5 Problems involving exponential functions
7
2 Polynomials
9
2.1 Using the quadratic formula
10
2.2 Using the discriminant
11
2.3 The completed square form y = a(x − h)2 + k
12
2.4 Getting quadratic functions from their graphs
13
2.5 Applying the binomial theorem
14
3 Functions, graphs and equations
17
3.1 Domain and range
19
3.2 Inverse and composite functions
20
3.3 Transformations of graphs
22
3.4 Rational functions
23
3.5 Using the GDC to solve equations
24
3.6 Solving pairs of linear equations
25
4 Sequences and series
28
4.1 Arithmetic sequences and series
29
4.2 Geometric sequences and series
30
4.3 Applications
31
Contents
iii