August 31 st By end of class today you should be able to: Know the difference between continuous, discontinuous and discrete functions.

Slides:

Advertisements

Similar presentations

Today’s Objective To be able to find the x and y intercepts of an equation and use them to draw a quick graph.

Advertisements

The Story of Chocolate By Primary 2/3F St Clements.

Are You Smarter Than a Fifth Grader? 1. Stay focused and work out each problem in your notebooks 2.

Discrete and Continuous Functions

Simple Solutions to Green Our Homes. 60% of all Water that’s consumed in the home comes from the bathroom.

Tuesday. Parent Function Quiz 4 Graphs No Calculators/No Notes Use entire 10x10 grid Don’t forget to graph asymptotes if needed! About 8-10 minutes to.

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.

Solve Linear Systems by Substitution

TODAY IN ALGEBRA 2.0…  Learning Target: Review Ch.6 concepts  Whiteboard practice: Solving with square roots  Review HW #7  Independent Practice.

Warm-up 1. Given this relation:

A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining.

Algebra Review for Units 3 and 4: Graphing Linear Equations and Inequalities Critical Thinking Skill: Demonstrate Undestanding of Concepts

Welcome to the Summer Institute Day 2 Thursday, August 7 Please sit in lesson study teams Today’s Agenda Homework follow-up Mathematical Modeling Coach’s.

Applications of Systems of Linear Equations

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,

Algebra & Calculus. Is 2 euro the best possible return If I invest €1 after 1 year with an interest rate of 100%?

 Algebra 1 – Quadratics! Determining Importance.

Introduction to Interval Notation Goals: I will be able to use inequality and interval notation to graph inequalities. I will be able to use the graphs.

Pre-Algebra HOMEWORK Page 606 #1-9.

Warm-up Find the slope y x Run=6-2=4 Rise=3-1=2 = (2,1) (6,3)

Objective: SWBAT graph equations that represent functions. They will be able to relate the domain of a function to its graph and describe it. Bell Ringer:

Warm Up. Lesson 10: Interpreting Graphs of Proportional Relationships I can represent proportional relationships by equations. I can explain what a point.

4.4 Graphing a Function Rule:

Notes 5.2Histograms A frequency table groups large amounts of data into intervals. The frequency is the number of times an item occurs within an interval.

3.3 Graphing and Solving Systems of Linear Inequalities

Warm Up I can use composition of functions to verify an inverse.

1 Solve each: 1. 5x – 7 > 8x |x – 5| < 2 3. x 2 – 9 > 0 :

TODAY IN ALGEBRA 2.0…  Warm Up: Multiplying Rational Functions  Complete HW #3  Learning Target 1: 8.4 continued…You will DIVIDE Rational Functions.

5 Minute Check Complete on the back of your homework (9 + 2) · ² ÷ ÷ 2 · 3².

Represent Relations and Functions Objectives: 1.To find the domain and range of a relation or function 2.To determine if a relation is a function 3.To.

Fill ‘er Up By Jan Bryson and Andrew Derer. How many ounces does it take to fill these containers? School Milk Carton Water Bottle Quart Milk Container.

Algebra 2 Chapter 2.3 Rate of Change and Slope Target Goals: 1.Find the rate of change of data in a real-life situation. 2.Determine the slope (steepness)

Lesson 8-3: Graphing Rational Functions

Day 1 (Graphing and Substitution). 2 or more equations with the same set of unknowns We are doing these.

CONTINUITY. A function f(x) is continuous at a number a if: 3 REQUIREMENTS f(a) exists – a is in the domain of f exists.

Aim: What is the continuity? Do Now: Given the graph of f(x) Find 1) f(1) 2)

Find each function value: 1. f(4) if f(x) = x – 6 On a highway, a car travels an average of 55 miles in one hour. Write a function to represent the distance.

Today in Calculus Derivatives Graphing Go over test Homework.

Aims: To be able to find the inverse of a function. To know the graphical relationship between a function and its inverse. To understand the relationship.

2.2 day 3 The Piecewise Function

 1. Given this relation:  {(2, -1), (4, -1), (3, 2), (5, 1), (4, 2), (5, 1)}  Domain?  Range?  Function or Not? Explain why?  2. Convert these to.

HW ?’s August 24, 2011 Algebra 2. Solving Inequalities (1-6)

Decide whether each of the following is continuous or not.

System of Equations Substitution Method Day 1

Turn in your homework (Newton’s 2nd Law Practice Problems 1).

Chapter 1- Lesson 2 Making Bar Graphs and Line Graphs

Mαth JΣθPARδY! Algebraic Expressions and Formulas

Graphing Types of Graphs Include: Line Graphs Bar Graphs Pie Charts.

I can… …Interpret graphs of functions. …Draw graphs of functions.

Solve Systems of Linear Equations in Three Variables

Unit 5. Day 7..

Solve Systems of Linear Inequalities

MATH(O) Limits and Continuity.

Graph of the derived function

MATH 6/6+: Monday, November 11

4.8 – graphing functions Textbook pg. 253 Objective:

Section 6.3 Standard Form.

Today in Precalculus Notes: Limits (no calculators) Go over quiz

(4)² 16 3(5) – 2 = 13 3(4) – (1)² 12 – ● (3) – 2 9 – 2 = 7

Algebra 1 Section 6.3.

Warm Up Determine the domain of the function.

Welcome 11/6/14 if x < 2 f(x) = if x > 2

9.2 Solving Quadratic Equations by Graphing

Relations and Functions

2.5 Use Piecewise Functions

LINEAR & QUADRATIC GRAPHS

Homework Due Thursday 1st Semester Project Due, Friday

Brett Solberg – Alta High ‘11-’12

Unit 1.1 Dependency Relationships

Presentation transcript:

August 31 st By end of class today you should be able to: Know the difference between continuous, discontinuous and discrete functions

Continuous Functions… When you do NOT have to pick up your pencil to draw the entire picture.

Is this graph continuous?

DISCONTINUOUS

What about this one? This is called a DISCRETE graph. Any set of points is discrete!

A student group is selling chocolate bars for $2 each. The function, f(x) gives the amount of money collected after selling x chocolate bars. DATA: continuous or discrete? Algebraically: y = 2x OR f(x) = 2x

A low-flow shower head releases 1.8 gallons of water per minute. The function V(x) gives the volume of water released after x minutes. DATA: continuous or discrete? Algebraically: y = 1.8x OR v(x) = 1.8x

WS 4 HOMEWORK