Linear and Nonlinear Functions

Slides:

Advertisements

Similar presentations

Objective - To graph linear equations using the slope and y-intercept.

Advertisements

Equation of a line y = m x + b

Linear and Nonlinear Functions

Graphing Using Tables (continued)

Objective : 1)Students will be able to identify linear, exponential, and quadratic equations when given an equation, graph, or table. 2)Students will be.

Linear Equations Review. Find the slope and y intercept: y + x = -1.

LT: I can graph and write equations of lines

1 Linear and Nonlinear Functions How do you identify, compare, and contrast functions as linear or nonlinear? SPI / CC 8.F.3.

Linear and Nonlinear Functions Identifying functions on tables, graphs, and equations. April 27, 2015.

Directions: Solve the linear systems of equations by graphing. Use the graph paper from the table. Tell whether you think the problems have one solution,

Standard Form & x-intercepts & y-intercepts

Warm Up #10 1.) Graph 5x + 7y =35 2.) Graph y= 2x -3.

GRAPHING LINEAR FUNCTIONS Graphing Straight Lines This presentation looks at two methods for graphing a line. 1.By finding and plotting points 2.Using.

Algebra 2 Chapter 2.2 Linear Relations & Functions Target Goals: 1.Identify linear relations and functions 2.Determine the intercepts of linear equations/functions.

Holt Algebra Identifying Linear Functions Warm Up 1. Solve 2x – 3y = 12 for y. 2. Graph for D: {–10, –5, 0, 5, 10}.

LINEAR SYSTEMS – Graphing Method In this module, we will be graphing two linear equations on one coordinate plane and seeing where they intersect. You.

ALGEBRA 1 Lesson 5-4 Warm-Up. ALGEBRA 1 “Point-Slope Form and Writing Linear Equations” (5-4) (5-3) What is “point- slope form”? How can you use point-slope.

Linear Functions. Compare and Contrast Yards to Feet Number of Feet Number of Yards Yards to Square Yards Length of a Side of a Square Yard Area of Square.

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.

6.4 Point-Slope Form and Writing Linear Equations Point-Slope Form of a Linear Equation –The point-slope form of the equation of a non- vertical line that.

Comparing Functions and Identifying Linear and Non-linear Functions

Equations involving three terms constant, linear, and square Take square root, factor or use quadratic formula Quadratic Equations.

Introduction To Slope. Slope is a measure of Steepness.

7.3 Linear Equations and Their Graphs Objective: To graph linear equations using the x and y intercepts To graph horizontal and vertical lines.

Linear and Nonlinear Functions Identifying functions on tables, graphs, and equations.

Linear and Nonlinear Functions

Linear and Nonlinear Functions

Linear and Nonlinear Functions Identifying functions on tables, graphs, and equations. Irma Crespo 2010.

Day 9 Geometry.

x and y both have exponents of 1. x and y are not multiplied together.

Warm Up: Graph y = - 2x + 7 and find the x-intercept and y-intercept.

Learning Targets Graph a line and write a linear equation using point-slope form. Write a linear equation given two points. Warm Up Find the slope of the.

STANDARD FORM OF A LINEAR EQUATION

Linear vs. Nonlinear Functions!

Do now Complete the table below given the domain {-1, 0, 1, 2} X

Warm Up 1. Given

Linear vs. Non Linear:.

Chapter 3 Section 4.

Linear and Nonlinear Relationships

Identifying Linear Functions and Equations

5-4 Point Slope Form.

PARENT GRAPH FOR LINEAR EQUATIONS

Warm Up Find the slope of the line containing each pair of points.

Writing Equations in Slope-Intercept Form

8.6.4 Comparing Linear and Nonlinear Functions

Lesson 8-3 Using Slopes and Intercepts part 2

Point-Slope Form and Writing Linear Equations

Lesson 3: Linear Relations

Objectives Identify linear functions and linear equations.

The graph represents a function because each domain value (x-value) is paired with exactly one range value (y-value). Notice that the graph is a straight.

Identify Functions Using Tables

EXIT TICKET: Graphing Linear Equations 11/17/2016

Warm Up – August 16, 2017 Find the slope of the line through each pair of points. (0, 2) and (3, 4) (-2, 8) and (4, 2) (3, 3) and (12, -15) Write the following.

Quiz 2.1 Review Whiteboards

Forms of a linear equation

Example 1A: Graphing by Using Slope and y-intercept

Write the equation for the following slope and y-intercept:

Standard Form Section 5-5.

Linear Functions Length of a Side of a Square Yard Compare and Contrast Yards to Feet Number of Feet Number of Yards Yards to Square Yards Length.

Graphing Linear Equations

Unit 6: Exponential Functions

Chapter 2 Section 2 Linear Equations.

Linear and Nonlinear Functions

2.2: Graphing a linear equation

Linear and Nonlinear Functions

ON BELLWORK SHEET --- MARK “TOOK PRE-TEST”

Sec 6-3-b Learning Objectives The student will be able to:

Warm Up Determine whether h=4 is a solution to each problem. 2(h-2)=4

Objectives: To graph lines using the slope-intercept equation

1: Slope from Equations Y = 8x – 4 B) y = 6 – 7x

Presentation transcript:

Linear and Nonlinear Functions Identifying functions on tables, graphs, and equations.

Warm Up What is the linear equation for this graph? Graph y = 2x + 1 Rewrite the linear equation 3y + x = 9 to its slope-intercept form or the “y = ” form.

Length of a Side of a Square Yard Linear vs. Nonlinear Yards to Feet Number of Feet Number of Yards Yards to Square Yards Length of a Side of a Square Yard Area of Square (yd2)

Tables: Linear or Nonlinear Is the rate of change constant (the same)? x y 2 50 4 35 6 20 8 5 x y 1 4 16 7 49 10 100 +3 +15 +2 -15 +2 -15 +3 +33 +2 +3 +51 -15 linear nonlinear

Identify: Linear or Nonlinear Table? x y 20 5 16 10 12 4 x 2 4 6 y 8 18 nonlinear linear

Graphs: Linear or Nonlinear Is the graph a straight line? linear nonlinear linear

Identify: Linear or Nonlinear Graph?

Equations: Linear or Nonlinear REMEMBER THESE 3 THINGS: x or y can NOT appear in the denominator. Both must be in the numerator!! x and y can NOT be multiplied together (no mushing). x or y can NOT have an exponent other than a 1 or a 0.

Identify:Linear or Nonlinear Equation? y = x + 4 y = 6/x y = ½ x y = x3 + 1 y = 4 linear nonlinear linear nonlinear linear y = + 1 3x 2 y = .6x1 y = x2 + 8 y = 2/x + 5 linear nonlinear nonlinear linear

Pointers to Keep in Mind A table is linear if the rate of change is constant. There is a common difference. A graph is linear if it is a straight line. An equation is linear if the power of x or y is either 1 or 0 and they appear in the numerator and they are not multiplied together.

Exit Slip Identify if linear or nonlinear. Table A Equation y = + 5 3 6 9 12 y 10 8 y = + 5 8 x Graph a b c