Sharpened pencil and notebook paper

Slides:

Advertisements

Similar presentations

4-4 Equations as Relations

Advertisements

2-1: Graphing Linear Relations and Functions

Warm Ups {(2,0) (-1,3) (2,4)} Write as table Write as graph

Linear Relations and Functions

EXAMPLE 3 Write an equation for a function

Chapter 7 – Solving Systems of Linear Equations

(-4) (-2) + (-1) September 5, 2012 Get a pink piece of Warm-Up paper from the shelf that is under the pencil sharpener. Copy down.

Graphing Linear Inequalities

Find each function value: 1. Solve for y, if x = 4: y = x - 6  f(4) if f(x) = x – 6 2. On a highway, a car travels an average of 55 miles in one hour.

Do Now 10/26/10 In your notebook, explain how you know a function is a function. Then answer if the following three tables are functions or not. x

4.4 Equations as Relations

5-3 Equations as Relations

Functions. Warm Up Solve each equation. 1.2x – 6 = x = X + 29 = x – 5 – 4x = 17 x = 14 x = - 7 x = -15 x = 11.

COMPARING FUNCTIONS.

Homework Text p. 388, #8-22 evens and #19 8) domain: -2, -1, 0, 1; 8) domain: -2, -1, 0, 1; range: -9, 2, 4, 5 range: -9, 2, 4, 5 10) domain: -4, -3, 2,

Lesson 3.2 Topic/ Objective: Comparing linear and nonlinear functions. EQ: How can you tell if a function is linear or not? Linear Functions vs. Nonlinear.

Warm Ups {(2,0) (-1,3) (2,4)} 1. Write as table 2. Write as graph 3. Write as map 4. State domain & range 5. State the inverse.

§2.5 Model Direct Variation CA Standard 2.0 Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with.

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.

Graphing Linear Equations Chapter 7.2. Graphing an equation using 3 points 1. Make a table for x and y to find 3 ordered pairs. 2. I choose 3 integers.

Graphing Linear Equations

6.1 Graphing Systems Unit 3 Algebra 1. Warm Up: Graph the following equations. y = 2x + 1 x + 2y = 12.

Unit 5 Review! Objective: to review examples of functions from geometry Common Core State Standards 8.F.1; 8.F.2; 8.F.3; 8.F.4; 8.F.5; 8.G.9.

Lesson 2.8 Graph Linear Inequalities in Two Variables.

Lesson 4-4 Page 295 Linear Functions. Understand how to use tables and graphs to represent functions.

Lesson Menu Main Idea and New Vocabulary Example 1:Real-World Example: Graph a Function Example 2:Graph a Function Key Concept:Representing Functions.

2-1: Graphing Linear Relations and Functions

Warm-up: Page 238 #47 and #48 Homework: Page 245 #3-28 all

Solving Linear Systems by Substitution

Linear Functions 12-5 Warm Up Problem of the Day Lesson Presentation

Functions TEXTBOOK REFERENCE: 4-6.

Graphing Linear Relations and Functions

5-4 Writing Equations in Slope-Intercept Form

Solving System of Linear Equations

5.2 Solving Systems of Linear Equations by Substitution

2-1: Graphing Linear Relations and Functions

Linear Functions SOL 8.14, SOL 8.16, SOL 8.17.

Algebra 1 Section 6.1.

Warm-up #4 Given

Solving Linear Systems by Linear Combinations

Taken out of context A Practice Understanding Task

Solutions to Systems of Equations

No Homework: Bellringer questions 1-4 Thursday

Equations as Relations

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Graphing Linear Relations and Functions

Please pick up the following BEFORE class starts:

Relations and Functions

Function - when every x is paired to one y

Warm Up Solve for x:

Main Idea and New Vocabulary

Three Forms of an Equation of a Line

Representing Linear Functions

Objective The student will be able to:

Systems of Equations Solve by Graphing.

Representing Lenear Functions

Objective The student will be able to:

Objective The student will be able to:

Objective The student will be able to:

Objective The student will be able to:

Warm Up Check to see if the point is a solution for the

L3-3 Objective: Students will graph systems of linear inequalities

Warm-ups Week of September 9-13, 2013.

Essential Question: How can we determine if the model for a function should be discrete or continuous?

Unit 3-Section 4 “Functions, Tables, Graphs”

Monday, Nov. 7th 3rd & 6th Please have 2 sharpened pencils, a blank piece of paper, your.

Systems Warm-Up Solve each linear system. x + 7 = y -4x + 2 = y

Non-Linear Functions by Substitution

TEST # 5 REVIEW QUESTIONS SLOPE AND LINEAR EQUATIONS VHHS SPRING 2017

Presentation transcript:

Sharpened pencil and notebook paper 2-5-14 “Retro Wednesday” - Linear Representations, Part 2 Solving Systems with SUBSTITUTION YOU NEED: Your Textbook Your homework Sharpened pencil and notebook paper BE IN YOUR SEAT AND READY BY 10:50 !!!

Retro Wednesday Refresh Warm-Up/Bellwork A linear function is a function that has a straight line graph. We can represent linear functions using an equation, a set of ordered pairs, a table or a graph.

savings = $250 he now has + $50 per month Manuel is saving money for college. He already has $250. He plans to save another $50 per month. Write a function to represent the situation: savings = $250 he now has + $50 per month s = 250 + 50m

Manuel is saving money for college. He already has $250 Manuel is saving money for college. He already has $250. He plans to save another $50 per month. Now make a function table to find his total savings after 2, 4, 6, 8 and 10 months m 250 + 50m s 2 250 + 50(2) 350 4 250 + 50(4) 450 6 250 + 50(6) 550 8 250 + 50(8) 650 10 250 + 50(10) 750

What are the ordered pairs for this function? m 250 + 50m s 2 250 + 50(2) 350 4 250 + 50(4) 450 6 250 + 50(6) 550 8 250 + 50(8) 650 10 250 + 50(10) 750 What are the ordered pairs for this function? (2, 350), (4, 450), (6, 550), (8, 650), (10, 750)

Graph the function using the ordered pairs: (2, 350), (4, 450), (6, 550), (8, 650), (10, 750)

Discrete or continuous Discrete or continuous? Remember continuous data can take on any value so there is no space between the data values for a given domain. Discrete data have space between possible data values. IF the domain of a function is integers, then it is a DISCRETE function. Examples: the number of glasses on a shelf, the number of chips in a bag. IF the domain of a function is real numbers (fractions, decimals) then it is a CONTINUOUS function. Examples: the number of ounces in a glass, the weight in grams of each chip Manuel’s situation is DISCRETE because we can’t compute his savings for a part of the month.

YOUR TURN . . . Each member of a health club receives two free guest passes. Write a function to represent the situation. Make a function table to show the number of guest passes given out to 10, 20, 30, and 40 members. Graph the function . Is the function discrete or continuous?

Write a function to represent the situation Write a function to represent the situation. Make a function table to show the number of guest passes given out to 10, 20, 30, and 40 members. Graph the function . Is the function discrete or continuous? y = 2x where y represents total number of guest passes and x represents the number of members x 2x y 10 2(10) 20 2(20) 40 30 2(30) 60 2(40) 80