AP Calculus AB Help!! Medals
I need help on 2 questions
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- tmagloire1

- chestercat

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- SolomonZelman

Ok, lets do the question 1 first.

- SolomonZelman

inflection point is an x-value that makes f''(x)=0, so the f'(x) doesn't tell us anything about the inflection points.
So you can eliminate C, and it should be a critical point/number.
A critical number is when f'(x)=0. When is this the case, when x=1, or x=0?

- tmagloire1

When x=0

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- SolomonZelman

yes, correct, so your answer is...

- tmagloire1

A!

- SolomonZelman

yes, the first option.

- SolomonZelman

now, question #2 ...

- tmagloire1

Thanks an okay

- SolomonZelman

See where x=-2.25 and x=-1.75 are on your graph?

- tmagloire1

Yes

- SolomonZelman

this part of the graph you can take alone (and ignore the rest of the graph) to tell me the approximate slope at x=-2.

- tmagloire1

Don't they land in the middle of a box? How can I find the approx. slope?

- SolomonZelman

You can just visually tell me, if you refer to your options....

- SolomonZelman

you have no function f(x) given in a form of an equation, i know, but you can take that piece from x=-1.75 to x=-2.25, and tell me what the slope of this whole peace is appaorximately

- tmagloire1

2

- tmagloire1

oops not an option

- SolomonZelman

take a narrower space on the function at about x=-2, and try to picture what a tangent line would look like

- tmagloire1

I still can't really see it. I'm just doing rise/run to count the slope on the graph is this wrong. I'm not really understanding it

- SolomonZelman

it is correct, but you are taking a too wide interval....
i can't copy your picture..... wanted to show something but my extention for copying it isn't there...

- SolomonZelman

|dw:1437686303764:dw|

- SolomonZelman

|dw:1437686429195:dw|

- SolomonZelman

|dw:1437686484177:dw|

- SolomonZelman

We can go ahead and find the function it you want tho'

- tmagloire1

Is the smaller approx. 1

- SolomonZelman

yes, yes !

- SolomonZelman

Very nice...

- tmagloire1

if you go from -1.75 to -2

- tmagloire1

Oh okay lol idk why that was so hard for me sorry

- SolomonZelman

you can take like -1.9 to -2.1

- tmagloire1

Thank you for your help though!

- tmagloire1

Okay but isn't the actual answer closer to +1 not -1

- tmagloire1

Ohh okay I thought -3/4 for a was the approximation

- SolomonZelman

it is not 1, because the graph is squiized, it is more likely a 4.

- tmagloire1

oh ok

- SolomonZelman

yeah, if you were to stretch the graph so that ever unit of x and unit of y get the same space, then the slope is way greater than 1, so the answer is 4, actually...

- tmagloire1

okay thank you!

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