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Relations and Functions 6993 Views


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Description:

Check out this video to improve your function-fresh dance moves...

Language:
English Language

Transcript

00:00

We speak student! Relations and functions a'la shmoop it's friday night

00:08

at mathlete high school the annual dance that everyone has been waiting for is [

00:12

finally here the function stance where you can only use dance moves that [kids dancing in a school hall]

00:17

resemble functions usually students can dance like relations which gives them a

00:21

lot of freedom maybe too much freedom why well because a relation is a set of

00:27

ordered pairs all we need to do to come up with these ordered pairs is relate x [relation function definition and example on a chalkboard]

00:31

and y in some way so during these dances Michael Gaga a distant relative of Lady

00:35

Gaga can get his groove on however he likes the chaperones just sit in the [Michael Gaga dancing at the annual mathlete dance]

00:40

corner and play solitaire on their iPhones but the functions dance is a

00:45

special one unfortunately Michael is in trouble he doesn't know what a function [Michael looking confused at the thought of what a function is]

00:49

is and chaperones crack down on dance moves that don't resemble functions at

00:53

the functions dance Michael hears his favorite song YMCA and starts making

00:58

[Michael raising his arms to make the Y letter] the Y this is a function to see if it's a function we can use the vertical

01:03

line test if any vertical line that's drawn touches the graph at only one

01:07

point it's a function a vertical line drawn through either of the diagonal

01:11

parts of the Y only touch it once but a vertical line drawn straight through the [verticle and diagonal line drawn through a x and y axis]

01:15

center of the Y touches it lord knows how many times not a function now the

01:20

end same deal vertical lines drawn through the slanted part of the letter

01:24

pass the test but the left and right parts of the letter are vertical lines [left and right part of the letter M highlighted green]

01:28

themselves so it's a no-go here as well then the C we are not having good luck

01:33

so far it's pretty clear that a vertical line drawn through just about any part

01:37

of the sea touches the graph more than once so we're still on the lookout for a

01:40

letter that would qualify as a function finally the A nope the left most and [Letter A on a vertical line test graph with blue lines through the letter]

01:45

right most parts of the A pass the test but not this area in the middle okay

01:49

would any letters pass the vertical line test well there aren't many but V works

01:55

the vertical line here vertical line there no matter where you draw it V passes

02:00

the vertical line test now that makes us want to dance [Michael on the floor dancing]

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