Graphing Piecewise Functions - Precalculus

This precalculus video tutorial provides a basic introduction on graphing piecewise functions. It contains linear functions, quadratic functions, radical functions, and rational functions. This video contains plenty examples and practice problems on how to graph piecewise functions.

Domain and Range Formula Sheet:

Introduction to Functions:

Evaluating Functions:

Function Operations:

Increasing and Decreasing Functions:

Relative Maximum & Minimum Values:

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Relations and Functions:

Domain and Range From a Graph:

How To Find The Domain of a Function:

Average Rate of Change of a Function:

The Difference Quotient of a Function:

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Evaluating Piecewise Functions:

Graphing Piecewise Functions:

Composite Functions:

How To Evaluate Composite Functions:

Composite Functions - Data Table:

Comp. of 3 Functions - Data Table:

Decomposing Functions:

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Introduction to Inverse Functions:

How To Find The Inverse of a Function:

Verifying Inverse Functions:

Horizontal Line Test - 1 to 1 Functions:

Vertical Line Test:

Graphing Inverse Functions:

Composite and Inverse Functions:

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Even and Odd Functions:

Transformations of Functions:

Linear Functions:

Functions and Graphs - Problems:

Functions - Test Review:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[abicados]

i feel like im getting it at the same time not

[emmanuelmanuel]

You’re the best tutor on YouTube
God bless you and keep up the good work

[sbonisomartin]

why did you choose 4 for your second graph??

[bunnysvalentine]

im literally sobbing i cant do this

😃

[PotatoPhoneUser]

That's it. I'm failing math and I'm a piece of disappointing trash.

[Highlife]

i literally never talk in class and i pay attention but i still dont understand lmaoo

[jimmys]

I feel like 90% of the math I learn, I will never use other than to show people I failed at it

[samiraabdelhady]

pov: you have a test in 2 hours and you're just now studying for it

[CarlosCooksChi]

His voice always calms me down during my pre-rest panic attack

[Kaaaailaa]

there is no peace in piecewise functions

[chernobyl]

That moment when you understand it just fine but still can't do it for some reason...

[emilymarines]

me crying cause i still don’t know how to graph piecewise functions

[slugsarecrunchy]

After 2 weeks of struggling with this, I am watching this the night before my test...and in just 11 minutes, everything made sense to me

[Jshao.xd.]

I’m still confused, I don’t even need this in a regular job 😔👊

[saraimejia]

tutor: take your time graphing step by step and you should be fine. It's not that difficult
me: still gets it wrong

[thegamer]

My teacher could’ve just played this video LMAO

[bcd]

For the people who are still lost, what he is trying to do is combine the functions with the given parameters/limiters, whatever you want to call it. He is taking part of a function and graphing it on the same graph with each rule, and the first example itself explains it very well. Basically he graphs both graphs, but uses the x value limiters (x>/=0 and x<0) to cut off the graphs, and the open circle means that the line is exclusive, NOT INCLUSIVE, which basically means as an example, x<0, and it's not less than or equal to. If it was less than or equal to, than the circle would be filled aka closed circle. Think of it as 2 rays, like inequality graphing. It's something similar to that. I hope you found this comment helpful

[laurenorourke]

piecewise functions are the death of me😭😭 i asked my teacher for help after class today and he was like range is very difficult to find💀💀 so i had my twin brother who’s in calculus to help me. But this video helped me understand even more so thank you!

[Yuumii]

I have a quiz on this stupid tmr and I'm still lost lmao
EDIT: I got 48% on the quiz lmao my friend got 16% and that’s what I have in class rn 😢

[AzongLee]

wow this is so helpful, much more than my college preCal's textbook. Textbooks are written professionally and they don't include tips or easy-to-follow steps, but you make learning math really interesting! thanks so much and i'm also looking forward to purchasing some of your merchandises!