1.3 Notes: Analyze Characteristics of Functions
A variety of characteristics and behaviors of a function can be described by looking at its graph, including:
domain and range
x-intercepts and y-intercept
relative maxima and minima
1.5 Notes: Composition and Decomposition of Functions
Composition of Functions
(f o g ) (x ) or f ( g (x ) :
( g of ) ( x ) or g (f (x ) :
the output of function g becomes the input of function f
the output of function f becomes the inp
1.2 Notes: Evaluating Functions
Function Notation: A way to name and evaluate functions.
f is the name of the function. Using different letters easily denotes different functions.
x is the input value (part of the domain)
1.3 Analyzing Functions Extra Practice
Analyze each of the following functions.
Increasing Intervals _
Decreasing Intervals _
Rel. Max _ Rel. Min _
Find f(0) if possible _
Find the values of x for which f(x) = 0 _
1.4 Notes: Transformations of Graphs
You already know that any function of the form f(x)=mx+b is a
and graphs a
. A major goal of this course is for students to be able to identify and graph a variety of the basic
functions of Algebra.
1.3 Notes-Day 1: Graph and Analyze Piecewise Functions
A piecewise function is a function defined by two or more equations over a specified domain.
Given, f(x) =
3x 4, x < 0
3x + 1, x 0
If evaluating an x value less than 0, plug it into
1.5-1.6 Notes: Composition of Functions and Inverses Graphically
Graph the inverse of each given function.
Given the graph of f (x ) and g (x ) , evaluate each inverse or composition of functions.
f 1 5
g 1 0