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1. Mental Math:What is 5 % of 80?
2. A ring has a SALE price of $540. This was
30% off. What is the ORIGINAL price?
3. A bike is on sale for $150.00. This is 25% off
the regular price. What was the original price?

4. Write 3.4% as a fraction and
as a decimal number.
5. Write one-tenth of ten percent as a fraction,
decimal, and percent
Vocabulary
H
e
i
g
h
t

-2

y

-1

(0,4)

1

(4,0)
x
Time
The Cost of a Phone Call
What is a Relation?
Example 1:
Functions: A Short Video
Mappings
Example of a Mapping

Steps
1.

-3
0
3
6

2.

1
2
3
4

Draw ovals
List domain

3.

List range

4.

Draw lines
to connect
Create a mapping of the following relation and state
whether or not it is a function.
{(-4,-1) ; (-4, 0) ; (5, 1) ; (3, 9)}

-4
5
3

-1
0
1
9
Using the Vertical Line Test
Use the vertical line test to check
if the relation is a function only if
the relation is already graphed.
Hold a straightedge (pen, ruler,
etc) vertical to your graph.
2. Drag the straightedge from left
to right on the graph.
3. If the straightedge intersects
the graph once in each spot ,
then it is a function.
4. If the straightedge intersects the
graph more than once in any
spot, it is not a function.
1.

A function!

……….
function

Not a function

Not a function

function

……….
Function Rules f(x)..g(x)..h(x)
……….
y = -3x + 2
y = -3(-1) + 2
y=3+2
y=5
1a. Domain: {-4, -2, 3, 4} Range: {-2, 2, 1}
1b. Domain: {0, 1, 7} Range: {-6, 2, -4, 4}
2a.
2b.
Function

Not a Function

3a.

3b.
-4
-2
3
4

-1
2
1

0
1
7

-6
2
-4
4

Not a
Function
……….
Practice

Steps
1. Sub in each domain value in one @ a time.
2. Solve for y in each

3. List y values in braces.
1. y = 3x + 1
y = 3(-4) + 1
y = -12 + 1
y = -11

y = 3x + 1
y = 3(0) + 1
y=0+1
y=1
Ans. { -11, 1, 7}

y = 3x + 1
y = 3(2) + 1
y=6+1
y=7

2. y = -2x + 3
y = -2(-5) + 3
y = 10 + 3
y = 13

y = -2x + 3
y = -2(-2) + 3
y = 4 +3
y=7

y = -2x + 3
y = -2(6) + 3
y = -12 +3
y = -9
H
e
i
g
h
t

P
e
o
p
l
e

C
o
s
t

S
p
e
e
d

H
e
i
g
h
t

S
p
e
e
d

A. Cost of a laptop, past 10 years B. Drag racing before hitting tree
C. World Population, last 700 years D. Person's height during lifetime
E. 3-point shot
F. Running up, then down a hill
January 6, 2014 intro to functions
January 6, 2014 intro to functions
January 6, 2014 intro to functions

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January 6, 2014 intro to functions

  • 1.
  • 2. 1. Mental Math:What is 5 % of 80? 2. A ring has a SALE price of $540. This was 30% off. What is the ORIGINAL price? 3. A bike is on sale for $150.00. This is 25% off the regular price. What was the original price? 4. Write 3.4% as a fraction and as a decimal number. 5. Write one-tenth of ten percent as a fraction, decimal, and percent
  • 3.
  • 5.
  • 7. The Cost of a Phone Call
  • 8. What is a Relation?
  • 9.
  • 11.
  • 14. Example of a Mapping Steps 1. -3 0 3 6 2. 1 2 3 4 Draw ovals List domain 3. List range 4. Draw lines to connect
  • 15. Create a mapping of the following relation and state whether or not it is a function. {(-4,-1) ; (-4, 0) ; (5, 1) ; (3, 9)} -4 5 3 -1 0 1 9
  • 16. Using the Vertical Line Test Use the vertical line test to check if the relation is a function only if the relation is already graphed. Hold a straightedge (pen, ruler, etc) vertical to your graph. 2. Drag the straightedge from left to right on the graph. 3. If the straightedge intersects the graph once in each spot , then it is a function. 4. If the straightedge intersects the graph more than once in any spot, it is not a function. 1. A function! ……….
  • 17. function Not a function Not a function function ……….
  • 20.
  • 21. y = -3x + 2 y = -3(-1) + 2 y=3+2 y=5
  • 22.
  • 23. 1a. Domain: {-4, -2, 3, 4} Range: {-2, 2, 1} 1b. Domain: {0, 1, 7} Range: {-6, 2, -4, 4} 2a. 2b. Function Not a Function 3a. 3b. -4 -2 3 4 -1 2 1 0 1 7 -6 2 -4 4 Not a Function
  • 25. Practice Steps 1. Sub in each domain value in one @ a time. 2. Solve for y in each 3. List y values in braces.
  • 26. 1. y = 3x + 1 y = 3(-4) + 1 y = -12 + 1 y = -11 y = 3x + 1 y = 3(0) + 1 y=0+1 y=1 Ans. { -11, 1, 7} y = 3x + 1 y = 3(2) + 1 y=6+1 y=7 2. y = -2x + 3 y = -2(-5) + 3 y = 10 + 3 y = 13 y = -2x + 3 y = -2(-2) + 3 y = 4 +3 y=7 y = -2x + 3 y = -2(6) + 3 y = -12 +3 y = -9
  • 27. H e i g h t P e o p l e C o s t S p e e d H e i g h t S p e e d A. Cost of a laptop, past 10 years B. Drag racing before hitting tree C. World Population, last 700 years D. Person's height during lifetime E. 3-point shot F. Running up, then down a hill