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Introduction to Functions 17456 Views
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Description:
This video will tell you all about the function of functions.
Transcript
- 00:04
Functions, a la Shmoop. Ever see something that is...dysfunctional?
- 00:16
Like some families, for instance. Or a society with no rules.
- 00:25
Now, picture the world without functions. Without functions, zebras would equal monkeys...
- 00:32
...and 2 + 2 would equal bananas. Picture functions as the parent...
- 00:40
... and variables as the children. Some variables are a little more independent
Full Transcript
- 00:44
than others. Functions love to tell variables what to do...
- 00:48
...but not all variables follow the rules. Independent variables are the free thinkers.
- 00:58
They can be anything, and they know it.
- 01:01
A dependent variable is the kid that never moves out of the house.
- 01:05
They don't really have a plan, and just go with the flow.
- 01:07
They sit around, letting the function tell them what to be.
- 01:11
So, if you have the function f(x) = 3x + 2... ...f(x) is the function, and 3x + 2 is the
- 01:20
rule that needs to be followed. By the way, don't freak out about the weird
- 01:26
f(x) thing. It's a little something we like to call "notation"...
- 01:30
...and it's read either as, "f is a function of x" or "f of x".
- 01:36
"x" is where you plug in the independent variable. Oh, and f(x) also equals the dependent variable
- 01:43
y. Plugging in a free thinking independent variable,
- 01:49
such as 2... ...we get f(2) = 3(2) + 2 = 6 + 2 = 8 = y.
- 02:06
Getting the answer 8 depends on what you plug in for x.
- 02:09
If the independent variable decides he wants to be the number 4...
- 02:13
...we get f(4) = 3(4) + 2 = 12 + 2 = 14. You can plug any number into "x," and some
- 02:30
other number will come out the other end. And there a lots of functions out there.
- 02:51
We kind of hope that dependent variable doesn't get too adventurous...
- 02:55
...or else we might be in trouble.
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