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Pg. 11 Homework

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- 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

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.

- Formal

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.

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.

- Read the problem
- Re-read the problem
- 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

Looking at Your Information

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?

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

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:

Function Values

Are the following functions?

- Find the function values