Upload
thuy
View
124
Download
3
Embed Size (px)
DESCRIPTION
Linear and Nonlinear Functions. Identifying functions on tables, graphs, and equations. Irma Crespo 2010. 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. Yards to Feet. - PowerPoint PPT Presentation
Citation preview
Linear and Nonlinear Functions
Identifying functions on tables, graphs, and equations.
Irma Crespo 2010
Warm Up
Graph y = 2x + 1
Rewrite the linear equation 3y + x = 9 to its slope-intercept form or the “y = ” form.
What is the linear equation for this graph?
Compare and Contrast
Yards to Feet
Num
ber o
f Fee
t
Number of Yards
Yards to Square Yards
Length of a Side of a Square Yard
Are
a of
Squ
are
(yd2 )
Tables: Linear or Nonlinear
linear
nonlinear
x y
2 50
4 35
6 20
8 5
x y
1 1
4 16
7 49
10 100
Is the rate of change constant (the same)?
+2
+2
+2
-15
-15
-15
+3
+3
+3
+15
+33
+51
Identify: Linear or Nonlinear Table?
x y
0 20
5 16
10 12
15 8
x 0 2 4 6
y 0 2 8 18
linear
nonlinear
Graphs: Linear or Nonlinear
Is the graph a straight line?
linear linear nonlinear
Identify: Linear or Nonlinear Graph?
linear linear nonlinear
Equations: Linear or Nonlinear
REMEMBER: x1 = x and x0 = 1 In “y = ” form, is x raised to a power of 1
or 0? Does x appear in the numerator?
y = x + 4y = 6/x
y = 4y = x3 + 1
y = ½ xlinear
nonlinearlinear
nonlinearlinear
Identify:Linear or Nonlinear Equation?
y = 2/x + 5y = x2 + 8y = .6x1 y = + 13x2
linear linearnonlinear nonlinear
Pointers to Keep in Mind
A graph is linear if it is a straight line.
A table is linear if the rate of change is constant. There is a common difference.
An equation is linear if the power of x is either 1 or 0 and it appears in the numerator.
Exit Slip
Identify if linear or nonlinear.1. Table A
2. Graph
3. Equation x 3 6 9 12y 12 10 8 6
a b c
y = + 58x
Complete the practice worksheet.
Work with a partner or on your own.
Submit completed worksheet for grading.
Solutions are discussed the next day.
Practice Worksheet
Main Resources
Day, et.al. (2009). Math Connects: Concepts, Skills, and Problem Solving. Chapter 10. Columbus:McGraw-Hill.
PowerPoint created by Irma Crespo. University of Michigan-Dearborn, School of
Education. Winter 2010.