Learning Log #7. 2.2 The Limit of a Function Uses of the word Limit in everyday life (speed) Roughly speaking, the Limit is the y-value that the function.

Slides:



Advertisements
Similar presentations
EXAMPLE 4 Solve a multi-step problem The table shows the typical speed y (in feet per second) of a space shuttle x seconds after launch. Find a polynomial.
Advertisements

LIMITS AND CONTINUITY OF FUNCTIONS Introduction to Limits “ I’m nearing the limit of my patience” Consider the function determined by the formula Note.
A Dash of Limits. Objectives Students will be able to Calculate a limit using a table and a calculator Calculate a limit requiring algebraic manipulation.
Graph the function y = |4 cos x|
1 times table 2 times table 3 times table 4 times table 5 times table
 The graph of a function f is shown. Graph the inverse and describe the relationship between the function & its inverse. xy
Technology 3 Using Tables, Cells, Formulas in Excel Creating Web Pages with Tables and embedded objects. Programming with Scratch Introduction to Open.
Solving and Graphing Multi-Step Inequalities. Solve, graph, & write in interval notation: 1. 6(x – 11) – 4x ≤ Two times the difference of a number.
2.8Exploring Data: Quadratic Models Students will classify scatter plots. Students will use scatter plots and a graphing utility to find quadratic models.
Chapter 2.5 Graphs of Basic Functions. Continuity Earlier in this chapter we graphed linear functions. The graph of a linear function, a straight line,
Chapter 1 Functions & Graphs Mr. J. Focht PreCalculus OHHS.
Additional roles include the following: ► ► Group analysis by Separate descriptive statistics are generated for each group. The groups are determined.
Review 1) How do you enter a set of data into your graphing calculator? How do you find a line of best fit for that set of data? 2)Find the length and.
Introducing a fully integrated mathematics learning platform a fully integrated mathematics learning platform.
Logarithms - Change of Base When working with logarithms, we sometimes want to enter the log into the calculator. If the base is 10 or e, this is done.
Functions. Evaluating Functions Graphing Functions.
Copyright © Cengage Learning. All rights reserved.
Section 9.3 Logarithmic Functions  Graphs of Logarithmic Functions Log 2 x  Equivalent Equations  Solving Certain Logarithmic Equations 9.31.
 Line graph - Measures change over time  Measures counted information.
Graphing Polynomials. Step One: Determine End Behavior Using Lead Coefficient Test.
Solve 5 2x = x = 16 log 5 2x = log 16Take the common logarithm of each side. 2x log 5 = log 16Use the power property of logarithms. x = Divide each.
Scientific Notation on a Graphing Calculator. Warm-Up What is the purpose of using scientific notation to express values of numbers?
Table of Contents Logarithm Properties - Change of Base The Change of Base rule for logarithms states that... Any real number can be used for the new base.
$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.
Graphing Trig Functions Review Whiteboard Activity.
Copyright © Cengage Learning. All rights reserved. 3 Differentiation Rules.
CLASS II 2014 – Number concept Addition Subtraction Multiplication Measurement Shapes and pattern Time and calendar Money Time Handling Data Division.
Graphing Functions The graphing calculator can be a great help in sketching functions. Example Sketch a graph of function f Press Y= for the equation screen...
Tables Learning Support
1 College of ENGINEERING Mathematics I Logarithms Dr Fuad M. Shareef.
Finding Limits Graphically and Numerically
Section – Solving Systems of Equations Calculator Required.
By Katie McKnight & Peter Myszka. This is our beginning equation. It is a quadratic function that will give us a good base to examine the equation of.
2.1 Rates of Change & Limits 2.2 Limits involving Infinity Intuitive Discussion of Limit Properties Behavior of Infinite Limits Infinite Limits & Graphs.
Quote It! Overview July 2011 Speak to slide /26/11 1.
Shifting a Function’s Graph
EXAMPLE 4 Solve a multi-step problem
Exploring Quadratic Graphs
Algebra 2 Stat review 11.2, 11.3, 11.5.
Do Now: Determine the value of x in the expression.
Topic 8-3 Polynomials, Linear Factors & Zeros
Splash Screen.
Times Tables.
6th Grade Spelling 8:30 AM Room A213.
FIN 550 Innovative Education-- snaptutorial.com
Apply the Fundamental Theorem of Algebra Lesson 2.7
What is a function?.
Composition of Functions
Functions Lesson 1.1.
Shifting a Function’s Graph
Lesson – Teacher Notes Standard:
Ch. 3 Recordkeeping Graphing Calculator Lab
A graphing calculator is required for some problems or parts of problems 2000.
How Scientist Work Using Science Skills.
CALCULATING EQUATION OF LEAST SQUARES REGRESSION LINE
Scientific Notation on a Scientific or Graphing CALCULATOR
Unit 3 Review (Calculator)
(4)² 16 3(5) – 2 = 13 3(4) – (1)² 12 – ● (3) – 2 9 – 2 = 7
Functions and Their Representation
Computer printout for Example 14.2.
Review 1+3= 4 7+3= = 5 7+4= = = 6 7+6= = = 7+7+7=
Limits and Continuity A BRIEF PREVIEW OF CALCULUS: TANGENT LINES AND THE LENGTH OF A CURVE 1.2 THE CONCEPT OF LIMIT 1.3 COMPUTATION OF LIMITS 1.4.
Google Drive Use personal google account IF you actually know the password. Log on with school credentials if not: User:
3 times tables.
Euler’s Method Leonhard Euler made a huge number of contributions to mathematics, almost half after he was totally blind. (When this portrait was made.
6 times tables.
Calculate 9 x 81 = x 3 3 x 3 x 3 x 3 3 x 3 x 3 x 3 x 3 x 3 x =

Line Graphs.
Evaluating Limits Numerically & Intro into Algebraic
Presentation transcript:

Learning Log #7

2.2 The Limit of a Function Uses of the word Limit in everyday life (speed) Roughly speaking, the Limit is the y-value that the function is approaching as x approaches a certain number. Enter the seven functions into your calculator so we can explore the concept of a limit intuitively.

From the home screen, find

Do the same for the next five functions. Write the conclusion for each limit in your notes for each problem in mathematical notation. Example of a graph from the whiteboard

The conclusions after looking at the table.

NOTES:

We only care about the values of the function near a. We do not care if there is a function value at x=a or if that value is the same as our limit.

Illustration:

2.2 IN-CLASS PROBLEMS