Once upon a time, in a far away land, there lived a very beautiful princess named Rapunzel. Her life is different from other’s lives because she doesn’t have her freedom. She was locked up by her evil stepmother in a tower.

“How I wish I could come nearer to see those flying

lanterns and could fly one”

My dear Rapunzel, I’m

home!

Mother, can I leave the tower to see the floating lights from

the outside world?

Mother p-l-e-a-s-e!

I will allow you if and only if you’ll be able to answer the mathematical equations written on the wall above the tower.

But how can I answer those

equations mother?

Find the magical book my dear, that will help you a lot to

answer the equations.

But how can I find the magical book on these

huge number of books?

Whoah! At last, I found you!

What is FUNCTION?A function is

like a machine that has an input and an output.

It is written as f(x) where the value of x is just a place holder. For example, f(x)=2x2 –x then the value of x is 2

so we should substitute all x with 2; f(2)= 2(2) 2-2=6 , we can therefore conclude that f(x) is equal to y.

That’s just an introduction.

Let’s now move on to

the next page, the “SUM OF

THE FUNCTION”

If given two functions namely f(x) and h(x) respectively, then operation for these two function can be expressed as:

(f+h)x= f(x) + h(x)

For example; iff(x)= 3x2-2x+5g(x)= 3x2-8x-9h(x)= 4x2-6

Find (f+h)x ;(f+h)x= f(x) + h(x)=(3x2-2x+5) + (4x2-6)ADD SIMILAR TERMS(f+h)x=7x2-2x-1

Try to solve (f+g)x= f(x) + g(x)Using the same value given earlier.

Checking:(3x2 -2x+5) + (3x2 -8x-9)

(f+g)x =6x2 -10x-4

Let the battle begin. . . . . . . .

Add the following functions :

•f(x)= 2x+3 ; g(x)= 3x-1•f(x)= x+2 ; g(x)= 2x2

•f(x)= x2-1 ; g(x)= x+1

As what the magical book

says I should just add similar terms to answer them. Let’s try it first!

•(f+g)x= f(x) + g(x)=(2x+3) + (3x-1)= 5x2+2=x3•(f+g)x = f(x) + g(x)=(x+2) + (2x2)=2x3+2•(f+g)x= f(x) + g(x)=(x2-1) + (x+1)

Rapunzel dear, yoohoo, I’m home.

Did you finish answering he

equations written on the wall?

Yes mother, my solution is

written on the paper beside the

mirror.

•(f+g)x= f(x) + g(x)=(2x+3) + (3x-1)= 5x2+2 CORRECT

CORRECT

CORRECT

•(f+g)x = f(x) + g(x)=(x+2) + (2x2)=2x3+2•(f+g)x= f(x) + g(x)=(x2-1) + (x+1)=x3

How did you answer it

correctly my dear?

I learned it from the magical book mother. So does that

mean I can already leave the tower and watch the flying

lights?

The evil Mother Gothel turned into ash and Rapunzel got her freedom.

Ugh. NO WAY! This is not happening! I

won’t allow it.

I’m freeeee

! Weeeee

!!!

THE END

Hope you’ve learned a lot.

Micro-lesson about “Sum of Functions”Project in Math IV

Submitted by:Ma. Ysabel M. FranciscoLovejoy LugtuJessa May RecoteIV-DiamondSubmitted to:Mr. Eric De Guzman