the-absolute-value

[the-absolute-value]

Today’s new look! Here is a tutorial so you can DIY!!

f(x)=-1/2l2x+4l-2

Yeah so this is my outfit of the day. Ok so to acquire this look you gotta go through some makeovers. In the end you gonna be looking fly, and if you need a makeover for prom, who you gonna call? Yeah dis girl right up in here. You're going to end up looking:

This look has 5 major blocks.

1) First I got multiplied by 2 inside my absolute value lines so I got horizontally compressed by 1/2. This Horizontal compression happens by multiplying a number |a|>1 to x. Since it is horizontal (happening inside the absolute value lines), you would say it is a compression of 1/a...in this case 1/2. 

f(x)=-1/2l

2x+4l-2

2) The second step to get this look is to shift 4 steps(units) to the left. When a number is added inside the A.V. (absolute Value), then the addition of a will shift me to the left and the subtraction of a will shift me to the right. 

f(x)=-1/2l2x+4l-2

3) Notice that there is a number before the A.V. This one causes my whole image to vertically compress. I am compressed vertically by a multiplication factor of a for 0<a<1. Here, I am multiplied outside the AV by 1/2 which would be vertical and also a compression.  

f(x)=-1/2l2x+4l-2

4) This fourth step is linked with the previous one. You know that before going out you HAVE to check yourself out in the mirror. So what you are going to do is have that number a multiplying everything inside the A.V.  be negative. This way you will be reflected on the x axis or the horizontal line. You are one step away from being as fabulous as me!!

f(x)=-1/2l2x+4l-2

5) Finally, notice how I am subtracting a number outside from ALL the previous AV. In this case I will shifting myself down by subtracting a 2. If I was adding, Id shift upwards, but I mean, its your choice. 

f(x)=-1/2l2x+4l-2

Ok, now you will have a finished product and girl let me tell you you look fab. Not as fab as me tho.

K bye!

  Ps.

My domain will be: (-∞,∞)

Range changes! It's now (-∞,-2)

and now….I’m bounded above at [-2,2], which is my new absolute maximum! Coolio! 

I'm never odd... I will always be even, and my continuity will nevah change, ok? It will always go infinitely. 

So in conclusion, the good stuff never changes, and sometimes the bad has to change...

[the-absolute-value]

About me:

Hi! I am the absolute value function and graph!

I am a very simple function where f(x)=lxl

Those two lines inside x mean that everything inside will always end up positive. ex: l-2l=2

When graphed, I resemble a v-shaped line, as I am an absolute value. This means that I have a peak either bounded above or below, but because I am f(x)=lxl, I am bounded below at (0,0).

My domain goes infinitely at both sides; therefore, I am continuous infinitely, but on the other hand, my range does not. My range goes from a specific number to infinite. In this case, I go from [0,∞)

As I have a peak it can be classified as an absolute minimum at (0,0).

In addition, if I am folded on my y-axis I present an even symmetry!

[the-absolute-value]

Dis is my jam!

[the-absolute-value]

Haterz Gonna Hate

Ok so downstairs are a gazzillion numbers (from zero to negative infinite) that want to hang out with me but tbh (to be honest, for those who clearly don't spend enough time on the interwebz), I don't function that way. I shall say that I am bounded below and hatters gonna hate.I ain't settling for less than ZERO.

#YOLO

[the-absolute-value]

Quotes <3

"Keep your eyes on the stars and your feet on the ground"...

This is one of my favorite quotes ever. I can relate to it so much. Life gets so overwhelming at times but there is nothing that can pass below the level of 0" height. Everything in life is above the ground, even myself. I can RANGE towards anything from the ground to infinity and beyond. I will conquer every bit of the world above this ground of yours. 

[the-absolute-value]

Confession time...

Hey guys, I have to confess to all of you that I have too many ex's. For reals though, they go from (-∞ , ∞ ). And they go on forever and ever and ever. I think its time to settle down. I mean, they are the DOMAIN of my life at times. I'm so done... 

[the-absolute-value]

Meet some of my cousins! I'm the blue one. 

[the-absolute-value]

That's so me

[the-absolute-value]

Today, I'm on my lowest point (LOL)

[the-absolute-value]

"Live life positively like an absolute function where every input can be of any sign, yet every outcome will be positive." -f(x)= |x| #selfie #YOLO

[the-absolute-value]

That's me! LOL!

be positive