Ways of displaying Function “stuff” 2.1 FUN functions Ways of displaying Function “stuff” 2.1 Function as Relations, Mapping, Table, and Graphs I can: Express a relation as a table, a graph, a mapping and a set of ordered pairs.
Review: Can you plot points? B (2, 7) C (0, -4) D (-4, -6) E (5, 0) F (9, -1) II I y-axis III x-axis IV
Making A Nifty Vocabulary Book: You and your partner should have two sheets of white paper, one sheet of color paper and one pair of scissors Stack the 3 sheets of paper and cut them lengthwise (hotdog)
You and your partner each get one strip of color paper and one of each of the white strips Stack your three strips with: Top – white strip without graphs Middle – white strip with graph Bottom – color strip Fold the strips in half so the color paper makes a cover, staple the edge Put your name on the front cover and make a title MORE ON THIS LATER
Relation ** Label the 4 quadrants Table: Graph Mapping: Rule: Characteristics: Common Mistakes: Example: Table: Graph Mapping: Relation A set of ordered pairs Ex. (2, 3) (4, 5) (-4, 3) The X values What goes into a function Domain: Range: Inverse: The y values What comes out of a function Switching the x and y values
Example 1 Given: (3, 2) (-1, 4) (0, -3) (-3, 4) (-2, -2) 1. Show the graph x y Plot the points -3 -2 -1 3 3 -1 -3 -2 -3 -2 2 4 2. Show the mapping 3. Show the table x -3 -2 -1 0 3 y 4 -2 4 -3 2 4. Give the inverse (2, 3) (4, -1) (-3, 0) (4, -3) (-2, -2) 5. Give the domain x {-3, -2, -1, 0, 3} 6. Give the range y {-3, -2, 2, 4}
Example 2 5 7 1 4 2 Given: -9 1. Show the graph 2. Show the relation 1 2 -9 Given: 1. Show the graph 2. Show the relation 3. Show the table 4. Give the inverse 5. Give the domain 6. Give the range
Your turn x y 4 3 -2 1 -3 2 2 -4 -4 Given: 1. Show the graph -4 Given: 1. Show the graph 2. Show the mapping 4. Give the inverse 5. Give the domain 6. Give the range
Vocab foldable
Did you master today’s objective? Think to yourself… Given the point (3, 2) What is the domain? 3 What is the range? 2 What is the inverse? ( 2, 3)
Assignment