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Gromic used the word
"specific-ness." Which

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graph in terms of what you
would be drawing based off

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of that would be more
specific, this one, the

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middle one, or the
first one you did?

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Why this one, Kelsey?

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[It's more precise.]

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Why is it more precise?

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[It has a small
interval...I don't know.]

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Okay, what does small
interval size have to do

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with getting more precise?

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We're talking about, people
have already brought up how

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obviously the interval
sizes are much smaller now,

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so we have a lot more
points to be plotted.

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Instead of looking at one
whole unit for x, we're now

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looking at only point one
intervals of x. We'd have a

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whole bunch of points.
Gromic talked about how

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we'd get more specic or
more precise. My question

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is how so? What about the
fact that there is now a

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ton of points that we'd
have to technically plot,

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every point one size of
interval for x, how did

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that make it more precise?
Compared to, say, the first

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one we drew with
interval size one?

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[Because when you're
graphing you have to add]

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[it, you know, each time
you go up the numbers on]

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[the x axis. So that's point one, then you have]

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[to be more precise because
you have to find, instead]

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[of one half, it's easier
to add one half over times]

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[And it's either going to
be half or a whole number]

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[if you're doing halves.
You can't just guess.]

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Okay, I see what you're
saying. With interval size

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one, it was, if you look at
your own homework, from

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zero to one the rate of
change was what that whole

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time? Zero. That's why this
got drawn the way it did.

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On your original homework
from zero to one, that

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whole time, the rate of
change was zero. Now from

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zero to one, what's going
on with your rate of

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change? Does it stay zero
the whole time? No, it

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changes, a lot.
Technically, nine times,

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ten. There's point one step
each time. What used to be

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assumed, "I'm gonna let
this be zero the whole

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time" 'cause that's what
the interval showed was

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that it stayed that way the
whole time. Now, it only

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stays the same for point
one of the step. And then

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that next point one of a
step, it changes from where

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it used be, and the next
point one of a step, it

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changes from where it used
to be. what used to be a

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constant zero the whole
time, now what would it do

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in this first little
interval? Increase. A

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little more or less each
time? A little bit more

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each time. In this next
interval from one to two, I

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think we said the rate of
change was point five that

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whole time, now what's
going on from one to two?

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It increases. A little
more each time or the same.

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A little more each time.
so, the rates of changes in

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this case, increase a
little bit more, and a

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little bit more, and a
little bit more, literally

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each little, in this
case baby steps,

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this is only point one.