SMILE!:)

Last Post?:(

Hello Everyone,
I would like to say, it was my pleasure to have you in my classroom.
I hope you have a great summer and I will see you in September.
It is 23:25 PM. I have marked your Final Exams.
I'm happy to say that no one has failed the class:).
If anyone would like to find out their final mark please come by the classroom on Monday.
Mr.P

Polynomial long division

To do polynomial long division, you must divide the variable in your divisor ( In this example X + 2 Is the divisor, ) by the first and largest variable in your dividend.

( This is our Dividend)

Step 1:

Dividing X Cubed by X gives us X Squared (remeber the exponent rules, X^3 / X = X^3-1 = X^2 )

Step2:

Now we have the first part of our answer, X Squared. To continue the question we must multiply the divisor by X squared, and subtract the new equation by the Next two largest variables in the dividend.

Step 3:

Now we take the remainder, 2X Squared and divide that by the variable in the Original divisor, and we get 2X. Remember to keep track of the parts of your Answers, Here the 2X is the second part.

Repeat 2, Multipling the divisor by 2X Squared, giving 2X squared and 4X Subtract this from the next two largest variables.

Repeat Step 3, by dividing the remainder by the original variable in the Divisor. X is the remainder, and X is the third and final part of the answer.

Repeating step 2 again gives us X + 2 Subtracting X + 2 which gives us a remainder of Zero.

So for this question, Our answer to

Divided by X + 2 Is :

Hopefully this helped you with polynomial long division, Sorry for the long delay.

Inverse Functions

If you have a relation with ordered pairs and certain coordinates, the inverse of this would be the reflection of the y=x line.

(-3,2)(1,4)(5,7)(6,8)

Inverse: (2,-3)(4,1)(7,5)(8,6)

The x and y coordinates are just reversed.

Here are the steps to finding the inverse function with a relation.

Relation: f(x) = 2x - 1

1. Replace f(x) with y.

y = 2x -1

2. Switch x and y.

x = 2y - 1

3. Solve for y.

4. Replace y with

Here are both the original and inverse relations graphed. Notice how each line is a reflection of one another of the y=x line.

The coordinates (-1,0) are the original relation, while (0,-1) are the inverse.

This is how to determine whether 2 functions are inverses of each other.

f(x) = 2x - 7, g(x) = 7x + 2

You will need to plug in g(x) into f(x)

f(g(x)) = 2(7x + 2) - 7

= 14x + 4 - 7

= 14x - 3

Now, you will need to plug in f(x) into g(x)

g(f(x)) = 7(2x - 7) + 2

= 14x - 49 + 2

= 14x - 47

f(x) and g(x) are not inverses of each other because f(x) does not equal x, nor does g(x).

HURRAY GUUIISE!

I'm pretty sure everybody understood what was going on in class today. :D

Only a few more weeks of school left! Who's excited for summer break?!

Pssst, Mr. P!

Post the lesson today on the wiki please and thanks.

ONE-TO-ONE AND INVERSE FUNCTIONS

HI GUYS.
IT'S AYA.
SO I DECIDED TO MAKE A LITTLE EXPERIMENT
FOR MY BLOG.

I...
DARE
YOU...

CLICK:

FUNCTIONS: One-To-One and Inverse on Prezi

Different Software

oh, btw, Mr. P. I'm using different software how can I bring this tomorrow? It won't work without the program. :\