Warm Up1. What is the

domain and Range?

2. Where is the graph

positive?

Tuesday, January 21st

EOCT Week 1 Winners

Week 2 EOCT-#1 To rent a canoe, the cost is $3 for the oars and life preserver, plus $5 an hour for the canoe. Which

graph models the cost of renting a canoe?

Quiz Scores/Answers

A Look Ahead Tuesday: Rate of Change-Linear Wednesday: Rate of Change-Exponential Thursday: Rate of Change word Problems Friday: Rate of Change word Problems

*TEST next Tuesday!

What words do you think of when you think of rate

of change?!?

Finding Rate of Change

1.Tables 2.Graphs 3.Equations 4.Word Problems

Group Discussion

How would you describe the DIFFERENCE between the rate of

change between:

Exponential &

Linear Functions

Linear

Exponential

ROCLinear

Rate of change=CONSTANT CHANGE ADDING OR

SUBTRACTING At any interval the rate of change will be

the same!

Exponential Rate of

Change=constant change by MULTIPLICATION

Rate of change depends on the interval you are looking at!

LINEAR Key Concepts

1. Slope=rate of change 2. Positive ROC=Increasing 3. Negative ROC=Decreasing 4. ROC of ZERO=Horizontal

line 5. ROC of UNDEFINED=vertical

Line

Determine if ROC is Postive, Negative, zero, undefined-

Graphs

N P

U 0

Determine if ROC is Postive, Negative, zero, undefined-

Equations 1. Y=8

2. Y=3x + 7

3. X= 8

4. Y=-3x + 7 N

PU

0

Determine if ROC is Postive, Negative, zero, undefined-Tables

x y

0 -10

1 -5

2 0

3 5

x y

0 7

1 7

2 7

3 7

x y

0 -10

1 -15

2 -20

3 -25

x y

7 -10

7 -5

7 0

7 5

P 0 N U

Important: Must solve for y!

Find the Rate of Change

1. Y = 2x – 10 2. Y = -5x + 4 3. 2x = 4y + 16 4. 2y + 6x = 24

Remember: Two

negatives=Positive- -=+

ALWAYS

yx

x y

1 -20

2 -30

3 -40

4 -50

x y

5 12

10 14

15 16

20 18

1. 2.

x y

2 -2

4 -6

6 -10

8 -14

x y

-10

20

-6 40

-2 60

2 80

3. 4.

Finding ROC from Graphs

RunRise

xy

I. Rise and Run

Rise= y axis

Run= x axis

What goes first?

You need to rise up

before you run

Finding Slope with a GraphFind the slope of the line

Begin at one point and count vertically to fine the rise.

• Up=Positive • Down=NegativeThen count horizontally to the

second point to find the run.• Right=Positive • Left= Negative

It does not matter which point you start with. The slope is the same.

(3, 2)

(–6, 5)

•

•

Rise 3

Run –9

Rise –3

Run 9

Begin at one point and count vertically to find rise.

Remember: up=____ down=___

•

•

Then count horizontally to the second point to find the run

Remember: right=____left=_____

Rise 2

Run –5

Rise –2

Run 5

You Try!

SUMMARY What type of function has a ROC that

can be described as a constant change adding or subtracting

How do you find the ROC in a linear equation?

How do you find the ROC in a linear table?

How do you find the ROC on a linear graph?