Functions, Limits and General Review
Packet
Unit 1 Functions, Limits and General Review Packet.pdfLimits, Number Lines, and Relative Extrema
Mastery Objectives
Students will be able to evaluate limits from graphs
Students will be able to create slope and f(x) number lines from graphs
Students will be able to find the local and absolute extrema from a graph
Limits, Number Lines, Extrema Notes.pdfVideos
DeltaMath Exercises
Limits with Tables and Number Lines
Finding Limits from Table (Type 1)
Finding Limits from a Table (Type 2)
Finding Limits to Infinity From a Table
Finding Limits From a Table (All Types)
Finding Limits Graphically (One Sided)
Finding Limits Graphically (Type 1)
Finding Limits Graphically (Type 2)
Finding Limits Graphically (Reverse)
Polynomial Key Features
Identify Relative Extrema Graphically
Increasing vs. Positive Graphically
Symmetry and Continuity
Mastery Objectives
Students will be able to determine graphically and analytically whether a function is even, odd or neither
Students will be able to answer continuity questions analytically
EvenOddNeither Notes.pdfVideos
DeltaMath Exercises
Polynomial Key Features
Increasing vs. Positive Graphically
Odd and Even Polynomial Functions
Even and Odd from a Graph
Even and Odd Functions with Tables
Extreme Values
Mastery Objectives
Students will be able to analyze the extreme values of a function on closed intervals
Extreme Values with a Calculator.pdfVideos
DeltaMath Exercises
Polynomial Key Features
Identify Relative Extrema Graphically
Graphical Features of Functions
Increasing vs. Decreasing Linear Piecewise
Finding Increasing or Decreasing Domains
Finding Positive or Negative Domains
Increasing vs. Positive Graphically
Increasing vs. Decreasing & Pos vs. Neg (Level 2)
Find Absolute Extreme Values Graphically
Finding Maximum/Minimum Values with Technology
Modeling Functions with Extreme Values
Mastery Objectives
Students will be able to identify appropriate basic functions with which to model real-world problems and be able to produce specific functions to model verbal descriptions
Students will be able to use calculator methods to solve application problems involving finding minimum or maximum values of a function
Modeling Functions with Extreme Values.pdfVideos
DeltaMath Exercises
Function Domain and Range
Visual Domain and Range
Find Domain and Range with Technology
Appropriate Domain for Real World Functions
Function Transformations
Mastery Objectives
Students will be able to algebraically and graphically represent translations, reflections, stretches, and shrinks of functions.
Transformations Notes.pdfVideos
DeltaMath Exercises
Function Transformations (Blue)
Transformations of Functions (A1-Discovery)
Transformations of Functions (A1)
Transform Functions Mixed (A1)
Translate Functions (Level 1)
Translate Functions (Level 2)
Dilate Functions (Level 1)
Function Transformations on a Point (A1)
Function Transformations (Green)
Parent Functions
Reflect Functions (Level 1)
Reflect Functions (Level 2)
Transform Functions Mixed (Level 1)
Dilate Functions (Level 2)
Transform Functions Mixed (Level 2)
Function Transformations on a Point
Transformations of Functions (Discovery)
Transformations of Functions
Function Composition
Mastery Objectives
Students will be able to evaluate composite functions
Students will be able to build new functions from old functions by composing them, and be able to state the domain of the composed function.
Students will be able to decompose composite functions
Composition Notes.pdfVideos
DeltaMath Exercises
Function Composition
Visual Composition of Functions
Composition of Functions
Composition of Functions (with x)
Compositions of Functions (Timed)
Composition of Functions (Three)
Review
Mastery Objectives
Students will be able to evaluate limits, analyze functions for symmetry, extrema and shape, find domains and ranges of functions, and compose and transform functions in various ways
Review Practice
Review CW.pdfAnswer Key
Review CW KEY.pdf