126 Nonlinear Functions

1
12-6 Nonlinear Functions

• Nonlinear function function whose graph is not
  in a straight line

2
Identifying Graphs
3
Identifying Graphs
4
Linear or Nonlinear in Tables
5
More Practice
6
Think and Discuss

• Give an example of a nonlinear relationship
  between two sets of data.
• Give an example of a linear relationship between
  two sets of data.

7
12-7 Rates of Change

• Constant rate of change same as the slope of the
  line, graph will be linear
• Variable rate of change graph will be nonlinear

8
Indentifying Constant Rates of Change

• Tell in which intervals of x the graph shows
  constant rates of change.

9
Indentifying Variable Rates of Change

• Tell whether each graph shows a constant or
  variable rate of change.

10
Using Rate of Change to Solve Problems

• Does the bicyclist travel at a constant or
  variable speed?
• How fast does the bicyclist travel?

11
Think and Discuss

• Compare what graphs with constant and variable
  rates of change look like.
• Give an example of a real-world situation that
  would involve more than one constant rate of
  change.

12
12-8 Set Theory

• Set collection of objects
• Element each object in a set
• CA, OR, WA, AK, HI
• xx is a state that is bordered by the Pacific
  Ocean.

13
Writing in Set Notation

• The set of all even numbers 1 to 10, including
  10.
• The set of all integers greater than zero.
• x

14
Subset
15
Intersection
16
Union
17
Identifying Relationships Between Sets

• Find A B and A U B. Tell whether either is a
  subset of each other.
• A 2, 4, 6, 8
• B 2, 4, 8

18
Identifying Relationships

• Find A B and A U B. Tell whether either is a
  subset of each other.
• A 0, 3, 6
• B 0, 2, 3, 5, 6

19
Identifying Relationships

• Find A B and A U B. Tell whether either is a
  subset of each other.
• A xx is a rational number
• B xx is an irrational number

20
Writing Subsets

• Write a smaller set that is a subset for
• a, b, c, d, e, f
• prime numbers
• people in your classroom
• girls with blonde hair

21
Think and Discuss

• Give an example of two sets whose intersection is
  the null or empty set.

22
Extension Venn Diagrams

• Venn diagram drawing that shows the relationship
  between two or more sets

23
Draw a Venn Diagram
24
More Practice
25
More practice

• Desserts U Pies
• Deserts Pies
• Any subsets?

26
Practice

• Dog U Cat
• Dog Cat
• Any subsets?

27
Challenge

• Draw a Venn diagram to show the relationship
  between different types of quadrilaterals.

28
Foreign vs. Domestic Cars

• Take a survey to find out what kind of cars the
  families of the people in your class drive.

29
Movie Survey

• Choose 3 movies that are currently playing at the
  theaters. Take a survey to find out how many
  people have seen each movie.