Algebra 2 Online!
Henrico County Public Schools, Virginia
Expressions and Operations

Equations and Inequalities

Functions

Statistics

SOL Review Materials
AII.7
The student will investigate and analyze functions algebraically and graphically. Key concepts include
a)   domain and range, including limited and discontinuous domains and ranges;
b)   zeros;
c)   x- and y-intercepts;
d)   intervals in which a function is increasing or decreasing;
e)   asymptotes;
f)   end behavior;
g)   inverse of a function; and
h)   composition of multiple functions.
Graphing calculators will be used as a tool to assist in investigation of functions.

AII.7 FUNCTIONS
AII.7a  DOMAIN & RANGE OF FUNCTIONS
 
1
Identify from algebraic function
 
2
Identify from graph
 
3
Describe restricted/discontinuous domain/range
AII.7b  ZEROS OF FUNCTIONS
 
1
Identify from algebraic function
 
2
Identify from graph
AII.7c  X- AND Y-INTERCEPTS OF FUNCTIONS
 
1
Identify from algebraic function
 
2
Identify from graph
  AII.7d  GIVEN GRAPH, IDENTIFY INCREASING AND DECREASING INTERVALS
 
1
Identify from algebraic function
 
2
Identify from graph
  AII.7e  ASYMPTOTES
 
1
Identify vertical asymptotes
 
2
Identify horizontal asymptotes
  AII.7f  DESCRIBE END BEHAVIOR OF FUNCTIONS
  AII.7g  INVERSE OF FUNCTIONS
 
1
Find inverse
 
2
Graph inverse
 
3
Given a graph of f(x), graph f^(-1)(x)
 
4
Convert between log and exponential forms
  AII.7h  COMPOSITION OF FUNCTIONS
 
1
Find composition of two functions
 
2
Verify functions are inverses