# Pg. 11 Homework - PowerPoint PPT Presentation

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Pg. 11 Homework. Pg. 21#1, 2, 6, 11 – 16, 18, 19, 38, 40, 41 Pg. 30#1 – 10 #1512#167 #174#188 #19| x – 4| or |4 – x |#20 | x + 3| or |-3 – x | #21a) QIb) y – axis c) x – axis d) QIII e) QII f)QIII #265#27 #289#29

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Pg. 11 Homework

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### Pg. 11 Homework

• Pg. 21#1, 2, 6, 11 – 16, 18, 19, 38, 40, 41Pg. 30#1 – 10

• #1512#167

• #174#188

• #19|x – 4| or |4 – x|#20|x+ 3| or |-3 – x|

• #21a) QIb) y – axis c) x – axis d) QIII e) QII f)QIII

• #265#27

• #289#29

• #30d[(1,3), (4,7)] = d[(4,7), (8,4)] which means it is isosceles

• #31(2,6)#32(½, -2)

• #33#34

• #35#39

### 1.1 Real Numbers and the Coordinate Plane

Absolute Value

Examples

Write the expression without using absolute value notation

• Definition

• Formal

• If a is a real number, then the absolute value of a if given by:

• Informal

• The distance from zero on the number line.

### 1.1 Real Numbers and the Coordinate Plane

Domain and Range

Graphing Windows

When in doubt, what do you ZOOM to?

What are you other options?

• Domain

• The domain is all the possible input values of a function.

• All the possible x – values.

• Range

• The range is all the possible output values of a function.

• All the possible y – values.

### 1.2 Graphing Utilities and Complete Graphs

Problem Solving

Example

It costs \$8 to enter the fair. Each ticket towards a ride costs \$0.75.

Generalize the pattern from the given information.

• State the problem in your own words

• Define the variables in the problem

• Clearly identify what you are given and what you are looking for

### 1.2 Graphing Utilities and Complete Graphs

You only have \$20. You want to ride the Tilt-a Whirl twice and roller coaster once. If the Tilt-a Whirl requires 5 tickets. Will you have any money left over for cotton candy?

• The roller coaster requires 6 tickets to ride. How much money total will you spend to ride the roller coaster twice?

### 1.2 Graphing Utilities and Complete Graphs

Proper Windows

Sketches of Complete Graphs

Must contain all data from a given table

Must suggest a pattern from the table

The equation must model the data for every point in the table

This gives one possible complete graph through the points in the given table

• Finding a proper window:

x y

-3 -15

-2.5 -5.625

-2 0

-1.5 2.625

-1 3

-0.5 1.875

0 0

0.5 -1.875

1 -3

1.5 -2.625

2 0

2.5 5.625

3 15

### 1.3 Functions

Functions

All functions must pass the VLT!!

Functions can be graphed

Functions are equations in two variables

All functions have a domain and range

• A function of x is a correspondence that associates each x in a set X with exactly one y in a set Y.

• If x is the input value and y is the output value we call y the image of x under f.

• For all functions:

### 1.3 Functions

Function Values

Are the following functions?

• Find the function values