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What do you notice about
this rate of change

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that's different from the
previous three problems

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you were asked to do?
Greg?

4
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[There's more than one.]

5
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More than one what?

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[Rate of change.]

7
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Okay, there's more than
one. Meaning, it's

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not...what were all these?
Constant. It's not

9
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constant, it changes. Yes,
there are more than one

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rates of change given,
there's if you count them,

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however much. So, in terms
of the graph that it would

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create, the function down
here that you were in

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charge of drawing, would
you expect it to be linear?

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Simon? Why not?

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[The rate of change
is getting higher]

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Okay, so what is it about
linear functions, what is

17
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it about their
rates of change?

18
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[They're the same
all the time.]

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They're the same all the
time. And Greg's already

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pointed out that this rate
of change is about the same

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the whole time. so,
automatically you should be

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thinking to yourself that
this is not linear.

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So what will it do?

24
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So, in terms of how to kind
of use this information,

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you guys knew how to use
the constant rate of change

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because whatever the
constant rate of change was

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that was given, you just
used it the whole time. You

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didn't even pay attention
really to what you were

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looking at because that
constant rate of change was

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going to stay through and
through. IN this case,

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depending on which values
of x you're looking at,

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they're different rates of
changes, right?

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Like, Ethan and Greg
pointed out.