 # Function Notation In Russia Materials Needs Pencil Notebook

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Download presentation Function Notation (In Russia!) Materials Needs • Pencil • Notebook • Scissors • Glue • Passport Table of Contents Pg Title 4 LI/SC, Warm Up, Guided Practice Pg Title 5 Function Notation Notes Warm Up Are the following points solutions to the equation? 1. 3 x – 2 y = 11 Point (5, 2) 2. y = -2 x – 3 Point (-2, 1) 3. x – 7 y = 3 Point (-4, -1) 4. y = 3 x – 1 Point (3, 5) Warm Up Are the following points solutions to the equation? 1. 3 x – 2 y = 11 True Point (5, 2) 2. y = -2 x – 3 Point (-2, 1)True 3. x – 7 y = 3 Point (-4, -1)True 4. y = 3 x – 1 Point (3, 5)False Golden Ring, Northeast Moscow, Russia Learning Intention/Success Criteria LI: We are learning to solve equations while using function notation SC: I know how to… 1. use the order of operations 2. use function notation to evaluate functions 3. use function notation to solve problems using tables 4. use function notation to solve problems using graphs 5. write solutions to equations as coordinates or in a table Today’s Vocabulary Function Notation: The way an equation is written. Used to evaluate functions. In Context: What the answer means in terms of the problem Table: Data arranged in rows and columns Think, Pair, Share f( x) = x 2 + 3 x – 1 f(\$) = \$2 + 3\$ – 1 Think, Pair, Share f(x) = |x 3 – 2 x| – 2 f( )=| 3 – 2 |– 2 Think, Pair, Share f( x) = 3 x + 1 f( a) = 3 a + 1 Think, Pair, Share f( x) = ½ x + 9 f(4) = ½ (4) + 9 Think, Pair, Share f( x) = 2 x 2 + x – 1 f(3) = 2(3)2 + (3) – 1 Example 1: Evaluate f(x) = 3 x – 8, when x = 2 f(x) = 3 x – 8 SC 7 f(2) = 3(2) – 8 SC 2 f(2) = 6 – 8 SC 1 f(2) = – 2 When x is 2, f(x) is -2. This makes the point SC 5 (2, -2) Guided Practice 1 Evaluate f(x) = 2 x + 10, when x = 7 A) f(-7) = -4 B) f(-7) = 4 C) f(-7) = -140 Guided Practice 1 Solution Evaluate f(x) = 2 x + 10, when x = 7 f(x) = 2 x +10 f(-7) = 2(-7) +10 f(-7) = -14 +10 f(-7) = -4 Guided Practice 2 Evaluate g(x) = x + 9, when x = 5 A) g(5) = 4 B) g(5) = 14 C) g(5) = 45 D) g(5) = -4 Guided Practice 2 Solution Evaluate g(x) = x + 9, when x = 5 g( x) = x + 9 g(5) = 5 + 9 g(5) = 14 Guided Practice 3 Evaluate h(x) = ½x – 6, when x = 0 A) h(0) = 6 B) h(0) = -6 C) h(0) = 0 D) h(0) = 2 Guided Practice 3 Solution Evaluate h(x) = ½ x – 6 , when x = 0 h( x) = ½ x – 6 h(0) = ½ (0) – 6 h(0) = 0 – 6 h(0) = – 6 Think, Pair, Share What is Example 2 a: changing and M(w) represents how much? the amount of --Amount of \$\$ money in your --Goes up \$2/wk bank account each How much week. You start money did you with \$6 in your start with? account and add \$2 --Started with \$6 each week, where w is the number of M( t ) = 2 w + 6 weeks. Write the SC 6 Example 2 b: Fill in the table defined by the function: M(w)=2 w + 6 w 12 3 4 5 6 M(w) 8 10 12 14 16 18 M(w) = 2 w + 6 SC 2, SC 3 M(1) = 2(1) + 6 SC 7 M(1) = 2 + 6 SC 1 M(1) = 8 SC 5 Amount of money, M(w) Example 2 c: Plot the points from the equation, found in the table. SC 4 20 16 12 8 4 1 2 3 4 5 6 Number of weeks, w What is the value of M(4)? What does M(4) represent in context? For which values of t does M(w) = 10? M(4) = 14 SC 3, SC 4, SC 6 M(4) represents the amount of money in your account, after 4 SC 3, SC 4, weeks. SC 6 M(w) = 10, when w = 2 SC 3, SC 4, SC 6 Quiz Evaluate the following expressions, given the function: 1. g(x) = -3 x + 1, when x = 10 2. f(m) = m 2 + 7, when m = 3 3. j(k) = 2 k + 9, when k = 7 Passport Stamp Grade yourself as a passport stamp at the Golden Ring. Are you a gold, silver, or bronze medal? Represent your learning as an Olympic Medal. Include a short reason why you chose that medal.