Dave's Web Corner

MTH-122W Week 5 (September 22-28)

• Outline
• Assessments
• Handouts
• Videos
• Technology

Outline

2.3 Functions

• recommended problems
  • 2, 8, 12, 16, 18, 20, 21, 24, 26,30, 34, 38, 42, 44, 48, 50, 52, 56, 58, 62, 64, 68, 72, 74, 76, 78
• learning objectives
  • define a function
  • evaluate a function at a certain input value
  • interpret tabular and graphical representations of a function
  • define the domain and range of a function

2.4 Graphs of Functions

• recommended problems
  • 8, 10, 14, 16, 18, 22, 28, 32, 34, 40, 42, 44, 52, 54, 56, 58, 62, 64, 66, 70, 72, 74, 76, 78, 80, 82, 86, 90, 98
• learning objectives
  • draw graphs of functions defined by a single expression
  • determine the domain and range of a function given its graph
  • draw graphs of piecewise-defined functions
  • use the vertical line test to determine whether a given graph is the graph of a function
  • determine \(x\)- and \(y\)-intercepts given the graph of a function

2.5 Linear Functions and Models; Regression; Variation

• recommended problems
  • 2, 4, 6, 10, 14, 20, 26, 32, 38, 40, 46, 50, 52
• learning objectives
  • identify the input variable and the output variable for a given application
  • extract suitable data from the statement of a word problem
  • find a linear function that models a real-world application
  • explain the significance of the slope and \(x\)- and \(y\)-intercepts for an application
  • examine situations involving direct and inverse variation

2.6 Analyzing the Graphs of a Function; Rate of Change; Difference Quotients

• recommended problems
  • 2, 4, 6, 8, 10, 12,14, 16, 18, 20, 22, 24, 26, 30, 34, 35, 38, 40, 44, 48, 50, 52, 54, 58, 60
• learning objectives
  • determine if a function is even, odd, or neither
  • given a function, determine intervals where a function is increasing, decreasing, or constant
  • determine the average rate of change of a function over an interval
  • find the difference quotient of a function

Assessments

• All assessments are completed at https://www.xyzhomework.com
• Calendar of all XYZ Homework assessment deadlines (homework, quizzes, exams)
• Homework
  • Homework 5 due by 11:59pm, Saturday, September 28: Sections 2.3, 2.4, 2.5, 2.6
  • Homework 6 due by 11:59pm, Saturday, October 5: Sections 2.7, 2.8, 3.1, 3.2,
• Quiz
  • Quiz 2 due by 11:59pm, Tuesday, September 24: Chapter 1
  • Quiz 3 due by 11:59pm, Tuesday, October 8: Chapter 2
• Exam
  • Exam 1 due by 11:59pm, Thursday, September 26: Chapters R, 1

Handouts

• Announcements
  • Schmidt Award
  • Math Graduate Award
  • Honors Program introduction
  • Tutoring Center services
• Graph Paper is a folder containing a variery of graph paper
  • Rectangular Grids 1 Large Coarse
  • Rectangular Grids 1 Large Medium
  • Rectangular Grids 3 Small
  • Rectangular Grids 6 Small
  • Rectangular Grids 3 Wide
• quadratic functions and expressions
  • parabola facts
  • the quadratic formula
  • complete the square
  • completing the square examples
  • complete the square and the quadratic formula
• Function Graphs
  key points of the basic graphs
• Absolute Value
  • Absolute Value Inequalities
• Lines (review worksheets from Intermediate algebra)
  • Graphing Lines (solution)
  • Converting Line Equations (solution)
  • Creating Line Equations I (solution)
  • Creating Line Equations II (solution)
• Linear regression
  • Linear Regression Introduction
  • Linear Regression Keystroke Guide

Videos

• Playlists
  • MTH-122 Recommended Problems
  • MTH-122 Topics
• Recommended Problems
  • Chapter 2
• Topics
  • Chapter 2
    • linear regression

Technology

• Communication
  • Zoom
  • Joining a Zoom Webinar
• Calculator
  • TI-84 Keystroke Guide
• Desmos
  • A Line Through Two Points
  • The Vertex Form of a Parabola