Post on 29-Jan-2016
Warm up 8/19 Warm up 1. 5x – 2 when x = 4
4. 2 – t2 when
3. when x = 16
94
18
48
Evaluate.
2. 3x2 + 4x – 1 when x = 5
Be seated before the bell rings
DESK
homeworkWarm-up (in your notes)
Quiz – Tuesday 8/12
Agenda:
Warmup
Note 1.6/1.7
Go over test
NotebookTable of content
Page1
1
1) 1-1 Sets of Numbers /1.2 Properties of Numbers
2) 1-3 Square Roots
3) 1-4 Simplify Algebra Expression
Glue in notes
2) 1-3 Square Roots
3) 1-4 Simplify Algebra Expression
4) 1.6 Relations/1.7 functions
Glue in new learning Targets for Chapter 2
1.6 Relations/1.7 functions
https://www.youtube.com/watch?v=JjcaM0UNu1A
A relations is :
(input values, output values)
(domain, range)
{(2, A), (2, B), (2, C)}
A set of order pairs
A
B
C
2
Domain Range
Mapping Diagram
Not a Function
Input Output
Function!
Input Output
A relations is a function when:There is only one output for each input
x 7 8 5 9
y 5 8 9 2
x 3 4 7 4
y 5 38 8 2
On graphs how do I tell if it’s a functions
Vertical line test
Is it a function?
No! :(
Is it a function?
From items in a store to their price.
Yes!
Is it a function?
From type of fruit to its color.
No! :(
Is it a function?
From month to number of days that month has.
no becuase of February...
Month
(input)
1 2 3 4 5 6 7 8 9 10 1 12
Days
(output)
31 28 or 29
31 30
31 30 31 31 30 31 30 31
ƒ(x) = 5x + 3
Function can be written like this :
na in oo ttQ W E R T Y U I O P
A S D F G H J K L
Z X C V B N M New Word.
No! Click to go on.YOU LOST!
Click for another go.
What is it call ?
ƒ(x) = 5x + 3
Function can be written like this :
Function notation
Output value Input value
Example 1A: Evaluating Functions
ƒ(x) = 8 + 4x
Substitute each value for x and evaluate.
For each function, evaluate ƒ(0), ƒ , and ƒ(–2).
ƒ(0) =
ƒ(–2) =
8 + 4(0) =
8 + 4(1/2) =
8 + 4(–2) =
8
10
0
You try! Example 1a
For each function, evaluate ƒ(0), ƒ , and ƒ(–2).
ƒ(x) = x2 – 4x
You Try ! Example 1b
For each function, evaluate ƒ(0), ƒ , and ƒ(–2).
ƒ(x) = –2x + 1
Example: Evaluating Functions from graphs
ƒ(0) =
ƒ =
ƒ(–2) =
3
0
4
For each function, evaluate
1.
f(-2)=
f(0) =
f(1/2) =
4;
6;
0
f(2)= 3
Go backwards
Which x gives you outputs of
f(x) = 3
x= 2, -1/2,
f(x) = 1
x= 3, -1.5,-3.75
f(x) = -1
x= 4
f(x) = 4
x= 0,1.5