Worksheet 6: Other Algebraic Functions
1. For the functions
f ( x) 3 2 x 1
g ( x) 3 2 x 8 3
a) Find the domain of each function.
b) Graph the function using the method of transformations. Then state t
Worksheet 5: Rational Functions
Useful algebraic properties and strategies pertaining to Rational Functions are expressed below.
Definition of a Rational Function
A rational function is a function tha
Worksheet 1: A Review of Functions and Relations
Match the graphs on the following pages with the algebraic equations of functions and
relations below. Write the letter identifying the graph next to t
Worksheet 2: FACTORING ALGEBRAIC EXPRESSIONS
Factoring is the process of writing an algebraic expression as a product of two or more factors. In
the examples below, the techniques of finding factors w
A Library of Basic Shapes
Even Power Function
eg. y x 2
Odd Power Function
eg. y x 3
Odd
Root
Function
eg. y 3 x
Absolute Value Function
eg. y x
Even Root Function
eg. y x
Rational Function
1
eg. y
x
Worksheet 8: Finding the Derivative Function for Basic Shapes
For the following basic functions,
a) Graph the derivative function below each graph.
b) Use the limit definition of the derivative to fin
1
Math 0131: Worksheet 9 Answers
A. Angle Measure
Angle:
220
Quadrant of terminal side:
III
50
IV
5
6
5
3
I
13
4

II
III
6
On +x axis
1.
2. Convert to degree measure:
3. Convert to radian measure:
9
Worksheet 3: Quadratic Functions
A. Solving Quadratic Equations
The boxes below express some algebraic definitions, properties, and strategies that are useful when
solving quadratic equations in one v
Worksheet 7: Absolute Value and PiecewiseDefined Functions
1. Given the following PiecewiseDefined Function
x2
f ( x ) x
2
, x 0
, 0 x 3
, x 3
a) Find the domain.
b) Sketch the function.
2. Given