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Algebra 1 Relations and Functions Function Rules, Tables & Graphs School Day 9  Objective:3.01, 3.03
Vocabulary Relation – set of ordered pairs Domain – x values Range – y values Function – relation that assigns exactly one value in the range to each value in the domain
Function Examples This is a function. This is NOT a function.
Examples Find the domain & range. {(1,2), (1,7), (3,4)} 2)  Table 3) Mapping x y -1 3 0 6 4 -1
Examples Use a vertical line test to determine if the relation is a function . 4) {(4,-2), (1,2), (0,1), (-2,2)} 5) {(0,2), (1,-1), (-1,4), (0,-3)}
Examples Use a mapping to determine if the relation is a function. 6) {(3,-2), (8,1), (9,2), (3,3)} 7) {(6,0), (7,-1), (6,0), (2,6)} Find the range if the domain is {-4, -2, 0, 4}. 8) y = -2x + 1 9) f(x) = 3x – 7 10) y = x 3  + 2
Examples Model the rule with a table and a graph. Use D={ -2, -1, 0, 1, 5} 11)f(x) = 3x + 4 12) f(x) = |x| - 1
Examples Model the rule with a table and a graph. Use D={ -2, -1, 0, 1, 5} 13) y = x 2  – 1 14) y = 8 - x
Assignment Pg 244 #1-10

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Relations and functions

  • 1. Algebra 1 Relations and Functions Function Rules, Tables & Graphs School Day 9 Objective:3.01, 3.03
  • 2. Vocabulary Relation – set of ordered pairs Domain – x values Range – y values Function – relation that assigns exactly one value in the range to each value in the domain
  • 3. Function Examples This is a function. This is NOT a function.
  • 4. Examples Find the domain & range. {(1,2), (1,7), (3,4)} 2) Table 3) Mapping x y -1 3 0 6 4 -1
  • 5. Examples Use a vertical line test to determine if the relation is a function . 4) {(4,-2), (1,2), (0,1), (-2,2)} 5) {(0,2), (1,-1), (-1,4), (0,-3)}
  • 6. Examples Use a mapping to determine if the relation is a function. 6) {(3,-2), (8,1), (9,2), (3,3)} 7) {(6,0), (7,-1), (6,0), (2,6)} Find the range if the domain is {-4, -2, 0, 4}. 8) y = -2x + 1 9) f(x) = 3x – 7 10) y = x 3 + 2
  • 7. Examples Model the rule with a table and a graph. Use D={ -2, -1, 0, 1, 5} 11)f(x) = 3x + 4 12) f(x) = |x| - 1
  • 8. Examples Model the rule with a table and a graph. Use D={ -2, -1, 0, 1, 5} 13) y = x 2 – 1 14) y = 8 - x