8.1 intro to functions

8.1 intro to functions

• 1.
  Objectives The student will be able to: 1. identify the domain and range of a relation. 2. show relations as sets, mappings, tables, ordered pairs and graphs. 3. Identify whether a relation is a function from multiple representations. Designed in Part by Skip Tyler, Varina High School
• 2.
  Definitions: The domain is the X- coordinates of the ordered pairs. The range is the Y- coordinates of the ordered pairs. A relation is a set of ordered pairs.
• 3.
  Given the relation {(3,2), (1,6), (-2,0)}, find the domain and range. Domain = {3, 1, -2} Range = {2, 6, 0}
• 4.
  The relation {(2,1),(-1,3), (0,4)} can be shown by x y 1) a table. 2 -1 1 3 0 4 2) a mapping. 2 1 -1 3 0 4 3) a graph.
• 5.
  Given the followingtable, show the relation, domain, range, and mapping. x -1 0 4 7 y 3 6 -1 3 Relation = {(-1,3), (0,6), (4,-1), (7,3)} Domain = {-1, 0, 4, 7} Range = {3, 6, -1, 3}
• 6.
  Mapping x -1 0 4 7 y 3 6 -1 3 -1 3 0 6 4 -1 7 You do not need to write 3 twice in the range!
• 7.
  What is thedomain of the relation {(2,1), (4,2), (3,3), (4,1)} 1. {2, 3, 4, 4} 2. {1, 2, 3, 1} 3. {2, 3, 4} 4. {1, 2, 3} 5. {1, 2, 3, 4} Answer Now
• 8.
  What is therange of the relation {(2,1), (4,2), (3,3), (4,1)} 1. {2, 3, 4, 4} 2. {1, 2, 3, 1} 3. {2, 3, 4} 4. {1, 2, 3} 5. {1, 2, 3, 4} Answer Now
• 9.
  Functions • a relationin which there is one and only one second member (range) for each first member (domain) In otherwords: • in a function, the x values do not repeat unless their y-partners do too!
• 10.
  Function or Not?
• 11.
  Go to SmartNotebook 7.1 to Graph
• 12.
  Vertical Line Test(pencil test) If any vertical line passes through more than one point of the graph, then that relation is not a function. Are these functions? FUNCTION! FUNCTION! NOPE!
• 13.
  Vertical Line Test FUNCTION! NO! NO WAY! FUNCTION!
• 14.
  Is this agraph of a function? 1. Yes 2. No Answer Now