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Wednesday, March 01, 2006

Jan's Scribe Today


Hi guys. My name is Jan and I am today's scribe. Today we had one period of pre-cal and we were reviewing some transformations and translation. Well, we wrote a few notes for our dictionary's.

Sketching Reciprocal Functions 1/f(x)

Remember: f inverse of x does not equal 1 over f of x

Example: If f(x) = x^2-4 Sketch 1/f(x)

Sketching f(x)

Step 1) Sketch f(x)

Step 2) Reflect the portion of the graph of "f" that is below the x-axis above the x-axis

Example Sketch the graph of f(x)=x^2-4

Trigonometric Modeling and Transformation

An Example

For a Saskatchewan town the latest sunrise is on Dec 21 at 9:15am. The earliest sunrise is on June 21 at 3:15am Sunrise times on other dates can be predicted using a sinusoidal equation.

Note: There is no daylight savings time in Saskatchewan

a) Sketch the graph of the sinusoidal function described above

b) Write 2 equations for the function; one using sine the other cosine

c) Use one of the equations in (b) to predict the time of sunrise on April 6

d) What is the average sunrise time throughout the year

e) On what days will the sunrise at 7:00am?

So that about sums it up for todays class. The next scribe will be . . . . . . . . ALDRIDGE

have fun with that




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2 Comments:

At 3/01/2006 9:19 PM, Blogger Regine said...

THANK YOU JAN. YOU ARE MY SAVIOR! I SHOULD READ YOUR SCRIBE BEFORE I COMMENTED. THAT'S OK THOUGH!

 
At 3/01/2006 9:29 PM, Blogger Mr. Kuropatwa said...

Good summary Jan!

Posting the review problems we had done at the begining of class would have really rounded it out. Particularly since they were similar to the sort of questions you can expect on the final exam.

The second topic you wrote as:
Sketching f(x)

should be written as:
Sketching |f(x)|
(absolute value of f(x))

The graphs you made are fantastic!

 

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