Math 120
Outline of material in Chapters 1 & 2 for Test #1
2/3/09
1.1 – Four ways to represent a function
Examples of functions
Definition of function
Domain, range, in/dependent variable
Ways to picture a function: machine, arrow diagram, graph
4 ways to represent a function:
Verbally (description)
Numerically (table)
Visually (graph)
Algebraically (formula)
Vertical Line Test for a curve to be the graph of a function
Piecewise defined functions
Absolute value function
Even & odd functions
Increasing & decreasing functions
1.2 – Mathematical models: a catalog of essential functions
Mathematical model
Linear function
Polynomial (terms: degree, coefficients, quadratic, cubic)
Power function and its graph
Rational function
Algebraic function
Trigonometric function
Exponential function and its graph
Logarithmic function and its graph
Transcendental function
1.3 – New functions from old functions
Transformations
Vertical & horizontal shifts
Vertical & horizontal stretching & reflecting
Combinations
f +−×÷ g
f ○ g : Composition of functions
1.4 – Graphing Calculators
Viewing rectangle
