1. Function Notation

2. Table of Contents
6: Warm-Up, Guided Practice
7: What is Function Notation?

3. Warm-Up Poll Are the following points solutions to the equation?
1. 3x – 2y = y = -2x Point: (5, 2) Point: (-2, 1) x – 7y = y = 3x Point: (-4, -1) Point: (3, 5)

4. Warm-Up Are the following points solutions to the equation?
1. 3x – 2y = y = -2x Point: (5, 2) Point: (-2, 1) x – 7y = y = 3x Point: (-4, -1) Point: (3, 5)
True
True
True
False

5. Learning Intention/Success Criteria
LI: We are learning to solve equations while using function notation SC: I know how to -use function notation to evaluate functions -use function notation to solve problems in tables -use function notation to solve problems in graphs

6. EQ: What is Function Notation?
5/19/20195/19/2019

7. Function Notation
The notation used to describe a function
It’s a fancy way of saying “y =“
Used to evaluate functions
In Context
What the answer means in terms of the problem
Table
Data arranged in rows and columns

8. Example 1:
Evaluate
f(x) = 3x – 8, when x is 2
f(x) = 3x – 8
f(2) = 3(2) – 8
f(2) = 6 – 8
f(2) = - 2
When x is 2, f(x) is -2.
This makes the point (2, -2)

9. Guided Practice 1 and Poll
Evaluate f(x) = 2x + 10, when x = -7
A] f(-7) = - 4 B] f(-7) = 4 C] f(-7) = D] f(-7) = -24

10. Guided Practice 1 Evaluate f(x) = 2x + 10, when x = -7 f(x) = 2x +10=
= -4

11. Guided Practice 2 and Poll
Evaluate g(x) = x + 9, when x = 5
A] g(5) = 4 B] g(5) = 14 C] g(5) = 45 D] g(5) = -4

12. Guided Practice 2 Evaluate g(x) = x + 9, when x = 5 f(x) = x + 9
= 5 + 9
= 14

13. Guided Practice 3 and Poll
Evaluate h(x) = 2x – 6, when x = 0
A] h(0) = 6 B] h(0) = -6 C] h(0) = 0 D] h(0) = 2

14. Guided Practice 3 Evaluate f(x) = 2x – 6, when x = 0 f(x) = 2x - 6
= 0 - 6
= -6

15. Example 2:
Suppose M(t) represents the amount of money in your bank account each week. You start with $6 in your account and add $2 each week, where t is the number of weeks.

16. Fill in the table defined by the function: M(t) = 2t + 61 2 3 4 5 6
M(t) 8 10 12 14 16 18
M(t) = 2t + 6
M(1) = 2(1) + 6
= 2 + 6
M(t) = 2t + 6
= 8
M(3) = 2(3) + 6
M(t) = 2t + 6
= 6 + 6
M(2) = 2(2) + 6
= 12
= 4 + 6
= 10

17. What is the value of M(4)?
M(4) = 14
What does M(4) represent in context?
M(4) represents the amount of money in your account, after 4 weeks, which is $14.
For which values of t does M(t) = 10?
M(t) = 10 when t = 2.

18. Reflection
How do you answer a question when it asks for the context of something?

19. Quiz Evaluate the following expressions given the function
1. g(x) = -3x + 1 when x = f(x) = x2 + 7 when f = j(x) = 2x + 9 when j = 7
Translate the following statements into coordinate pairs: 4. f(-1) = h(2) = g(1) = -1

20. Homework
Things you should be doing right now…
Working on your homework
Working on your MiMOW
Checking your work on the class website
Listening to music if you have head phones and no one else can hear your music