Unit 4 lesson 3 remediation activity 1

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Unit 4 lesson 3 remediation activity 1

  1. 1. What is a function? Unit 4 Lesson 3Remediation Activity 1
  2. 2. From Lessons 1 and 2: Ordered pairs are always written as (x, y) A relation is a set of ordered pairs Domain: the set of all "x" values in a relation Range: the set of all "y" values in a relation Relations can be expressed as: 1) ordered pairs 2) a table 3) a graph 4) a mapping
  3. 3. We are going to review: what a function is how to determine if relations are functions
  4. 4. What is a function? A function is a special type of relation that relates each x value to only one y value. In other words, the x’s do not repeat.
  5. 5. Examples: Are the relations below functions?1) { ( - 1, 2 ) , ( 3 , 2 ) , ( 4 , 2 ) { ( - 3 , 2 ) , ( -1, 4 ) , ( 0 , 0 ) ,-6 ) } ( 0 , 1) } Yes, because the x’s do  No, because the x’s not repeat. repeat.
  6. 6. Examples: Are the relations below functions?3) X Y 4) X Y -2 0 -2 0 5 -1 0 -1 5 7 2 9 No, because the x’s  Yes, because the x’s do repeat. not repeat.
  7. 7. Examples: Are the relations below functions?5) 6) x y x y -4 3 0 -3 6 0 1 1 7 2 0 No, because the x’s  Yes, because the x’s do repeat. not repeat.
  8. 8. Examples:Are the relations below functions? 7)  Yes, because the x’s do not repeat.
  9. 9. Examples:Are the relations below functions? 8)  No, because the x’s repeat.
  10. 10. What did we learn? A function is a special type of relation that relates each x value with only one y value. In other words, the xs DO NOT repeat!
  11. 11. What did we learn? We can use the Vertical Line Test to determine if a graph is a function. If a vertical line intersects the relations graph more than one time, then the relation is NOT a function. If a vertical line intersects the relations graph only one time, then the relation IS a function.

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