MHB What is the AP calculus exam IVT question?

[karush]

View attachment 9602
Ok I thot I posted this before but after a major hunt no find

Was ? With these options since if f(x) Is a curve going below the x-axis Is possible and () vs []

If this is a duplicate post
What is the link.. I normally bookmark these
Mahalo ahead

 

[topsquark]

Ok I thot I posted this before but after a major hunt no find

Was ? With these options since if f(x) Is a curve going below the x-axis Is possible and () vs []

If this is a duplicate post
What is the link.. I normally bookmark these
Mahalo ahead

Since we aren't given any real information about f(x) we need to be general. It's possible that f(x) can be just about anywhere is this interval. But note that the (continuous) function has to go from f(2) = 10 to f(4) = 20. So it has somehow get to 20 from 10. At some point the function has to hit every value between 10 and 20. (See the image for a visual.)

-Dan
View attachment 9603

 

[karush]

Would not your free hand line not be a function failing a vertical line test

 

[topsquark]

Would not your free hand line not be a function failing a vertical line test

I'm just saying that f(x) can be anything so I had fun sketching it.

-Dan

 

[karush]

Ok I'll post on the frig door.. just for reactions 🕶 Well the book said the answer was A
Which fits your observation

But not sure why the others are no no's

 

[topsquark]

Ok I'll post on the frig door.. just for reactions 🕶 Well the book said the answer was A
Which fits your observation

But not sure why the others are no no's

All of the other answers could be true but since f(x) is not given we could make the function do some or all of these possibilities, as well as others. A good exercise is to find an f(x) that have these properties.

-Dan

 

[skeeter]

Ok I thot I posted this before but after a major hunt no find

Was ? With these options since if f(x) Is a curve going below the x-axis Is possible and () vs []

If this is a duplicate post
What is the link.. I normally bookmark these
Mahalo ahead

posted in another forum ...

https://mathhelpforum.com/threads/276-ap-calculus-exam-ivt.285028/#post-954029

 

[karush]

posted in another forum ...

https://mathhelpforum.com/threads/276-ap-calculus-exam-ivt.285028/#post-954029

Jolly Good der Mate