# Algebraic Functions 2

Course Title:
MAT
Course Description:

Students will learn and apply algebraic concepts to solve real-world problems.
Prerequisite: Functions 1

Students will be helped to visualize, represent, model and solve problems that involve applications with business and science as well as make connections within the field of mathematics. The focus of the course will include topics such as quadratic, polynomial, rational, radical, and exponential functions.

1. Polynomial Functions
a. Sums, Difference and Products of linear functions
i. Symbolically
ii. Graphically
b. Behavior of graphs
i. Graphs
1. Key Characteristics (Maximum, minimum, intercepts, symmetry, vertex, end-behavior)
2. Domain and Range
3. Standard Form
4. Vertex Form
a. Translations, reflections and dilations
ii. Solving Equations
1. By Factoring
2. Using Roots
a. Complex Numbers
d. Sums, Differences and Products of linear and non-linear functions
i. Symbolically
ii. Graphically
1. Key Characteristics [degree, maximum, minimum, intercepts, symmetry (even or odd), end-behavior]
2. Domain and Range
iii. Be able to write the equation of a polynomial function given the degree and information about its roots
iv. Solving Polynomial Equations
1. Graphing (technology)
2. Factoring cubic equations

2. Rational Functions
a. Symbolically
b. Graphically
1. Key Characteristics (Maximum, minimum, intercepts, symmetry, vertex, end-behavior)
2. Domain and Range

a. Symbolically
b. Graphically
1. Key Characteristics (Maximum, minimum, intercepts, symmetry, vertex, end-behavior)
2. Domain and Range

4. Exponential Functions
a. Symbolically
b. Graphically
1. Key Characteristics (Maximum, minimum, intercepts, symmetry, vertex, end-behavior)
2. Domain and Range

5. Combinations of Functions
a. Composition
b. Inverse
c. Combinations

6. Sequences and Series
a. Arithmetic
1. Explicit formula
2. Recursive formula
3. Sums of finite series
b. Geometric
1. Explicit formula
2. Recursive formula
3. Sums of finite series
c. Sigma Notation

School Information:
District:
Gilbert Public Schools
State:
AZ
City:
Gilbert
140 S. Gilbert Rd.
Zip code:
85296
Yes

### Requested competency code:

Approved:
Approved:
Yes
Date:
Thursday, November 12, 2009

### Approved competency code:

Denied:
Deferred:
Deferred:
Yes
Reason:

What is course prerequisite?

Committee review :