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[SOLVED] 1.8.296 AP calculus exam. IVT

karush

Well-known member
Jan 31, 2012
2,678
2020_03_14_10.47.05_edit.jpg
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

Well-known member
MHB Math Helper
Aug 30, 2012
1,121
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
f(x).jpg
 

karush

Well-known member
Jan 31, 2012
2,678
Would not your free hand line not be a function failing a vertical line test
 

topsquark

Well-known member
MHB Math Helper
Aug 30, 2012
1,121
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

Well-known member
Jan 31, 2012
2,678
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

Well-known member
MHB Math Helper
Aug 30, 2012
1,121
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

Well-known member
MHB Math Helper
Mar 1, 2012
655