# Function Notation In Russia Materials Needs Pencil Notebook

- Slides: 27

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.