Linear vs. Nonlinear Functions!

Slides:



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

1 Linear and Nonlinear Functions How do you identify, compare, and contrast functions as linear or nonlinear? SPI / CC 8.F.3.
RULES FOR FUNCTIONS LINEAR OR NON-LINEAR In addition to level 3.0 and beyond what was taught in class, the student may:  Make connection with.
Identify Linear, Quadratic, and Exponential Functions N Distinguish quadratic and exponential functions as nonlinear using a graph and/or a table.
EXAMPLE 3 Write an equation for a function
Linear Inequalities in one variable Inequality with one variable to the first power. for example: 2x-3
4-2 Make a function table and a graph for the function y = –9x2. Is the function linear or nonlinear? Step 1 Make a function table using the rule y =
Linear & Non-Linear Equations & Graphs What do they look like?
Constant of Proportionality
Graphs of Functions Defined by Expressions in a Linear Equation On a standard screen, graph the following functions, determined from the given linear equation:
SOLUTION EXAMPLE 4 Graph an equation in two variables Graph the equation y = – 2x – 1. STEP 1 Construct a table of values. x–2–1 012 y31 –3–5.
Bell Work Graph the equation y=2x+4. (Hint: Use a function table to determine the ordered pairs.)
Get out your Linear Graphic Organizer and fill it in using the slides.
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.
2.1.1 Calling Plans day 3 Unit 2: Linear Relationships SWBAT: Compare calling plans by using graphs, tables, and equations.
Directly Proportional Vs. Linear TicketsPeople TicketsPeople TABLE PEOPLEPEOPLE TICKETS PEOPLEPEOPLE.
4.6 Model Direct Variation
GraphsTablesEquationsVocabularyFunctions.
Comparing Functions and Identifying Linear and Non-linear Functions
12-6 Nonlinear Functions Course 2.
Linear Functions Students will be able to determine whether or not a function is linear and be able to write a linear function given a real world situation.
Linear and Nonlinear Functions Identifying functions on tables, graphs, and equations.
Derivative Examples 2 Example 3
Notes Over 3.1 Solving a System Graphically Graph the linear system and estimate the solution. Then check the solution algebraically.
Functions LINEAR AND NON LINEAR. Linear function What is the function that states that the range values are 2 more than the domain values?  f(x) = x.
1 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.
Lesson 88 Warm Up Pg Course 3 Lesson 88 Review of Proportional and Non- Proportional Relationships.
Linear and Nonlinear Functions
Linear Vs. Non-Linear Functions We are learning to model functions as tables, graphs and equations (rules). Monday, June 27, 2016.
Algebra 1 Section 4.2 Graph linear equation using tables The solution to an equation in two variables is a set of ordered pairs that makes it true. Is.
Linear and Nonlinear Functions
Topics: Be able to writes equations of Linear Functions from numerical representations. Be able to writes equations of Absolute Value Functions from numerical.
Lesson 37: Absolute Value, pt 2 Equations
Population (millions)
Constant of Proportionality
≤ < > ≥ Solving Inequalities by Multiplying or Dividing
Do now Complete the table below given the domain {-1, 0, 1, 2} X
Here is the graph of a function
Vertical Line Test.
Graphing Linear Equations by the intercept method
COMPARING EXPONENTIAL AND LINEAR FUNCTIONS
Bellwork 1) How do you know if something represents a function or not?
Students will be able to calculate and interpret inverse variation.
6.3 Exponential Functions
PARENT GRAPH FOR LINEAR EQUATIONS
Quadratic Functions Unit 9 Lesson 2.
5-2 Direct Variation.
8.6.4 Comparing Linear and Nonlinear Functions
Objectives Identify linear functions and linear equations.
Comparing Functions Represented in Different ways
Dependent and Independent Variables
y x y = x + 2 y = x + 4 y = x – 1 y = -x – 3 y = 2x y = ½x y = 3x + 1
Write the equation for the following slope and y-intercept:
a + 2 = 6 What does this represent? 2 a
How do you determine if a function is linear or non linear
Y x Linear vs. Non-linear.
Linear and Nonlinear Functions
Name:___________________________ Date:______________
Chapter 4 Review.
Solve each quadratic using whatever method you choose!
Proportional or Non-proportional?
Is it proportional? We will look at some equations, graphs and tables and you will decide if the relationship is proportional. Tell why or why not. If.
Linear and Nonlinear Systems of Equations
Linear and Nonlinear Systems of Equations
Tell whether the slope is positive or negative. Then find the slope.
Problem of the Day.
Exponential Verses Linear
Students will be able to graph equations of lines.
X ⦁ X = 64 ±8 ±14 X ⦁ X ⦁ X =
Lesson 4.1: Identifying linear functions
Presentation transcript:

Linear vs. Nonlinear Functions! Identify linear vs. non-linear functions from a graph, equation, or table.

Take notes on this Graphic Organizer throughout the Playlist. LINEAR NON-LINEAR Equation Graph Table

 

Non-linear  

More Graphs Non-linear

How can I tell if a set of data points is linear or non-linear?

If the change in y divided by the change in x is constant, then the function is linear. Here, notice that the change in y is 3. The change in x is 1. So, the change in y divided by the change in x equals 3. This is a linear function.

If the change in y divided by the change in x is not constant, then the function is not linear.

Is it linear or non-linear?

Non-linear Non-linear Non-linear