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Mathematics 19 Online
iuytyuioiuytyuiop:

one to one

iuytyuioiuytyuiop:

these are above the horizontal line

iuytyuioiuytyuiop:

AZ:

we aren't talking about the horizontal line that's already there

AZ:

we draw our own horizontal line, and if it crosses the graph more than once then we say it isn't one-to-one but if it only crosses once, then it is a one-to-one function

AZ:

but that's as long as it also passes the vertical line test

iuytyuioiuytyuiop:

i cant tell if these are one to one functions

AZ:

so before we can find out if it's a one to one function we have to make sure it's a function so we have to do a vertical line test

AZ:

you draw a vertical line anywhere in the graph, if it touches the line at two points or more then it isn't a function

iuytyuioiuytyuiop:

these only touch it once

AZ:

Good! So these are functions

AZ:

Now to find out if it's a one to one function draw horizontal lines anywhere on the graph if it only touches the line once, then it is a one-to-one function if it touches more than once, like two times or more- then it is NOT a one-to-one function (it would still be a function but just not a one to one function)

iuytyuioiuytyuiop:

they both only touch it once?

AZ:

Exactly! Which means it's a one to one function

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