onegirl
Match the graphs of the functions on the left with the graphs of their derivatives on the right.



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onegirl
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onegirl
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onegirl
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ZeHanz
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Do you know what the derivative of a 2nd degree function is?

onegirl
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no

ZeHanz
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You know the following I guess:
If f is decreasing, then f' is negative (and vice versa).
If f is increasing, then f' is positive ( and vv).

onegirl
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yes

ZeHanz
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No look at the first graph on the left.
To the left of the yaxis, it is decreasing, to the right it is increasing.

onegirl
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yes it does

ZeHanz
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This means, for f' you are looking for a function that is negative on the left side of the yaxis and positive on the right.

onegirl
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ok

onegirl
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so it will be #2 in the second attachment?

ZeHanz
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I can see it on one of your drawings on the right! Do you?

onegirl
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Yes it will be number 2 ?

onegirl
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so to will have letter A

ZeHanz
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No, I've got C

onegirl
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but you can't match a with c , it says to match the left with the right so it has to be a letter with a number

ZeHanz
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I mean this (see image)
The parabola on the left (2nd degree function) has the straight line on the right as it's derivative.

onegirl
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so number one will be 1 with letter c?

onegirl
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I meant number 2 sorry

onegirl
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so 2C ?

ZeHanz
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Yes

onegirl
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okay

ZeHanz
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Now try #2.
See what it does: increasing, decreasing, increasing.
So you're looking for a graph that is +, then , then +.

onegirl
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i thought we already did number 2

onegirl
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?

zepdrix
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He was telling you number #1 is C. There musta been some confusion there c:

onegirl
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ohhh okay lol sorry

onegirl
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so number 2 will be f?

ZeHanz
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@zepdrix: thx

ZeHanz
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Yes!

onegirl
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okay :)

ZeHanz
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I think you got it!

onegirl
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number 3 looks funny

zepdrix
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I think #2 is `e` actually :o hmm

ZeHanz
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It is down, up, down, up, so look for ,+,,+

onegirl
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okay so number 3 will be A ?

ZeHanz
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@zepdrix : you're right, I'm having trouble looking at three different pictures, @onegirl: sorry ;)

onegirl
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okay thanks for the correction zep

onegirl
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so 3A ?

ZeHanz
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Yes, 3A

onegirl
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okay

onegirl
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so number 4 will be D?

ZeHanz
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Right again! Always decreasing, so looking for a derivative that is always negative...

onegirl
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okay

onegirl
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so i'm guessing number 5 will be 5B?

onegirl
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?

ZeHanz
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You guessed wrong...
Look at graph #5 and compare with #3

ZeHanz
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It behaves in the same way: dec, inc, dec, inc, so ,+,,+

onegirl
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ok so it will be 5f

ZeHanz
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Oops, look something went wrong with my last response.
Because 5 and 3 behave in the same way, you have to choose the same derivative: 5A

onegirl
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ohh ok

onegirl
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so letter A goes to two graphs? okay

ZeHanz
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That's the mean part of the question ;)

onegirl
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okay so how about the last one number 6?

ZeHanz
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It goes down, then up, then down, so for f' we have: neg, pos, neg

onegirl
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so it will be 6B

ZeHanz
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No, that goes a lot more from  to + etc.

ZeHanz
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(it is really simple)

onegirl
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ohh so it will f since it does go negative pos then neg

ZeHanz
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Yes, it's 6F.
I must admit this kind of question can be confusing, because you constantly have to switch from increasing , decreasing to +, .

onegirl
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okay well thanks for your help