1
00:00:00;00 --> 00:00:01;08
[I think it's a minimum]

2
00:00:01;09 --> 00:00:02;03
K

3
00:00:02;04 --> 00:00:06;10
[What I did was I graphed]

4
00:00:06;11 --> 00:00:07;14
[the rate of
change in my head]

5
00:00:07;15 --> 00:00:10;07
OK, tell me what you mean

6
00:00:10;08 --> 00:00:11;10
when you say I graphed
it in my head

7
00:00:11;11 --> 00:00:15;01
[The rate of change is
positive 2, so the line is]

8
00:00:15;02 --> 00:00:19;00
[going to be going up, so
and like before, anything]

9
00:00:19;01 --> 00:00:24;04
[to the right is going to
be positive, and to the]

10
00:00:24;05 --> 00:00:27;09
[right of the point is going
to be going up. Anything to

11
00:00:27;10 --> 00:00:28;02
[Anything to the
left will be]

12
00:00:28;03 --> 00:00:29;09
[decreasing 'til
that point]

13
00:00:29;10 --> 00:00:37;10
Katie? Sounds good?

14
00:00:37;11 --> 00:00:40;02
[Sounds great]

15
00;00:40;03 --> 00:00:45;05
Sounds great? Sounds right?
Say it one more time nice

16
00:00:45;06 --> 00:00:50;00
and loud in case people
didn't hear you. I like

17
00:00:50;01 --> 00:00:52;01
your reasoning even, I
really like that you

18
00:00:52;02 --> 00:00:54;14
pictured it in your head.
So, first of all, are you

19
00:00:54;15 --> 00:00:57;04
guys OK with, I mean I
just, this is really rough,

20
00:00:57;05 --> 00:01:00;03
but how come I drew my line
the way that I sketched it?

21
00:01:00;04 --> 00:01:01;12
I'm trying to sketch what
I think is in her head.

22
00:01:01;13 --> 00:01:04;02
[It's positive]

23
00:01:04;03 --> 00:01:04;13
What's positive?

24
00:01:04;14 --> 00:01:06;03
[The 2]

25
00:01:06;04 --> 00:01:08;08
The rate of change for
my linear function is

26
00:01:08;09 --> 00:01:09;05
positive, so is that an

27
00:01:09;06 --> 00:01:10;10
increasing or
decreasing line?

28
00:01:10;11 --> 00:01:11;11
[Increasing]

29
00:01:11;12 --> 00:01:14;00
That's all I drew was an increasing
line. I'm not

30
00:01:14;01 --> 00:01:16;07
even sure if this rate of
change is 2, I don't know

31
00:01:16;08 --> 00:01:19;00
if it crosses at negative
10, but I'm picturing an

32
00:01:19;01 --> 00:01:20;10
increasing line, because
that's what Danielle said

33
00;01:20;11 --> 00:01:23;01
she chose in her head. Now
that we're picturing the

34
00:01:23;02 --> 00:01:24;03
line in Danielle's head,

35
00:01:24;04 --> 00:01:26;08
talk us through again
how you can use that.

36
00:01:26;09 --> 00:01:34;10
[To the right of the point,
it's increasing, so to the]

37
00:01:34;11 --> 00:01:36;07
[right of that point,
it will be going up.]

38
00:01:36;08 --> 00:01:38;05
Let me just be
picky for a second.

39
00:01:38;06 --> 00:01:39;01
You said it right
the first time.

40
00:01:39;02 --> 00:01:41;06
To the right of this point,
the rate of change is

41
00:01:41;07 --> 00:01:42;08
[Increasing]

42
00:01:42;09 --> 00:01:44;00
It's increasing back
here, though too.

43
00:01:44;01 --> 00:01:46;05
[Well, it's positive]

44
00:01:46;06 --> 00:01:50;02
Positive. To the right of
this point, the rate of

45
00:01:50;03 --> 00:01:52;08
change is positive, so
talk to me about my curve.

46
00:01:52;09 --> 00:01:58;09
[It will be going positive.
Positive. Increasing.]

47
00:01:58;10 --> 00:02:03;14
Increasing. Now I've
got half a curve.

48
00:02:30;15 --> 00:02:07;07
What happens prior
to that point?

49
00:02:07;08 --> 00:02:10;14
[It's going negative]

50
00:02:10;15 --> 00:02:13;03
The rate of change is

51
00:02:13;04 --> 00:02:14;03
[Negative]

52
00:02:14;04 --> 00:02:15;11
Negative, which tells
you what

53
00:02:15;12 --> 00:02:17;08
about your curve up
until this point?

54
00:02:17;09 --> 00:02:18;04
[Decreasing]

55
00:02:18;05 --> 00:02:24;07
Decreases the whole time
and turns right there.

56
00:02:24;08 --> 00:02:26;02
[I was right but
couldn't explain it.]

57
00:02:26;03 --> 00:02:29;02
Well, I know a lot of
people were right and just

58
00:02:29;03 --> 00:02:31;04
couldn't explain it. So
is this a max or a min?

59
00:02:31;05 --> 00:02:32;06
[Min]

60
00:02:32;07 --> 00:02:39;05
Min. Good, good, good. What
would it take to have a

61
00:02:39;06 --> 00:02:45;06
max? What type of scenario
would have to unfold to

62
00:02:45;07 --> 00:02:49;02
give you a maximum
vertex? Kimberly?

63
00:02:49;03 --> 00:02:52;10
A negative rate of
change where?

64
00:02:52;11 --> 00:02:56;05
[From 2X's]

65
00:20:56;06 --> 00:02:59;06
On your rate of change
equation, good. If I had a

66
00:02:59;07 --> 00:03:03;09
negative rate of change for
my linear rate of change,

67
00:03:03;10 --> 00:03:07;02
and I wanted a rough sketch
to picture in my head how

68
00:03:07;03 --> 0:03:09;00
would I draw a rough sketch
of negative rate of change

69
00:03:13;07 --> 00:03:19;08
What's happening everything
prior to the vertex?

70
00:03:19;09 --> 00:03:20;10
[It's positive]

71
00:03:20;11 --> 00:03:22;14
It's positive, so
what's your curve doing?

72
00:03:22;15 --> 00:03:23;12
[Increasing]

73
00:03:23;13 --> 00:03:29;14
Increasing. What happens
at the turning point?

74
00:03:29;15 --> 00:03:31;05
[Starts to decrease]

75
00:03:31;06 --> 00:03:33;01
Rate of change goes

76
00:03:33;02 --> 00:03:34;00
[Negative]

77
00:03:34;00 --> 00:03:35;08
Negative, so curve goes

78
00:03:35;09 --> 00:03:36;11
[Decreasing]

79
00:03:36;11 --> 00:03:38;10
Max or min?

80
00:03:38;11 --> 00:03:39;06
[Max]

81
00:03:39;07 --> 00:03:40;05
Max