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Agenda Lesson 4 – 3 Function Rules, Tables and Graphs

Agenda Lesson 4 – 3 Function Rules, Tables and Graphs. Warm up/Attendance Warm Up Review Notes – Function Rules Practice Review. Homework – Page 191 Problems 40 to 45 all. Warm Up.

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Agenda Lesson 4 – 3 Function Rules, Tables and Graphs

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  1. Agenda Lesson 4 – 3 Function Rules, Tables and Graphs Warm up/Attendance Warm Up Review Notes – Function Rules Practice Review Homework – Page 191 Problems 40 to 45 all

  2. Warm Up Find the domain and range of each relation. Determine if each relation is a function, using a mapping diagram 1. {(2, 3), (2, 5), (2, 6), (2, 4)} 2. {(3, 2), (5, 2), (6, 2), (4, 2)} 3 {(3, 3), (5, 5), (6, 6), (4, 4)} Homework – Page 191 Problems 40 to 45 all

  3. Function Rule – an equation that describes a function Input Function Rule Domain – is the set of input values Output Range – is the set of output values

  4. 4 16 x = 6 x = 4 x = 2 y = 10 y = 16 y = 22 3x + 4 y = 3x + 4 output input 2 10 6 22

  5. 2 10 4 16 6 22

  6. Function Notation – a function that uses f(x) for the output. Example: y = 3x + 2 becomes f(x) = 3x + 2 f(x) is pronounced “f of x” or “f is a function of x” The notation g(x) and h(x) also indicate functions of x Input values are called theindependent variables Output values are called thedependent variables

  7. 1a EXAMPLE Evaluating a function rule Evaluate f(x) = –3x – 10 for x = 6 f(x) = –3x – 10 f(6) = –3(6) – 10 f(6) = –18 – 10 f(6) = –28

  8. 1b EXAMPLE f(a) = –3a + 5 f(a) = –3a + 5 f(a) = –3a + 5 f(-3) = –3(–3) + 5 f(1) = –3(1) + 5 f(4) = –3(4) + 5 f(-3) = 9 + 5 f(1) = –3 + 5 f(6) = –12 + 5 f(6) = 14 f(1) = 2 f(6) = –7 Evaluating a function rule Evaluate the function rule f(a) = –3a + 5 to find the range of the function for the domain {-3, 1, 4}

  9. Application 3 EXAMPLE Suppose your group recorded a CD, now you want to copy and sell it. One company charges $250 plus $3 per CD. The total cost P(c) depends on the number of CDs burned. P(c) = 250 + 3c P(c) 1500 1000 500 200 400 600 Number of CDs

  10. Class work – Please do now Page 190 Problems 2 to 18 even For problems 10 to 16 use the domain { -1, 0, 1} to make a table only Homework – Page 191 Problems 40 to 45 all

  11. Agenda Lesson 4 – 3 Function Rules, Tables and Graphs Day 2 Warm up/Attendance Warm Up Review Notes – Function Rules Practice Review Homework – Page 191 Problems 47 to 52 all

  12. Warm Up Find the range for the given f(x) using the domain {-1, 1, 3} 1. f(x) = 2x – 4 2. f(x) = 5 – 3x Homework – Page 191 Problems 47 to 52 all

  13. Graphing Functions 4 EXAMPLE Graph the function y = │x│ + 1. Find the domain and range. Domain All real numbers Range {y: y > 1}

  14. Identify Functions 5 EXAMPLE Find the domain for each relation determine if the relation is a function. 1. y = 3x – 2 1 3 + x 2. y = 3. x = y2

  15. Class work – Please do now Page 191 Problems 20 to 36 even Homework – Page 191 Problems 47 to 52 all

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