Question

Math question.

Answer 1

For the applications of derivatives... I want to know ...how do I figure out that tipping point in any curve of the graph where the curve shifts from either positive to negative or negative to positive. I guess you can call it the point of vertex...but not every function will face the symmetry to the origin. (0,0)

Answer 2

*but not every function will have symmetry to the origin (0,0)* correction. :)

Answer 3

I’m looking for a method to find the shifting point of polynomial functions with multiple shifting points... such as this....

Answer 4

So the first derivative tells you the slope.

When at some point the slope changes from positive to negative or negative to positive, there's your shifting point

Answer 5

https://www.desmos.com/calculator/vbicctilyf

here's an example

Answer 6

yeah you're right, when the derivative is 0, there's your shifting point

Answer 7

Here’s what I did... and it gave me all the shifting points

Answer 8

I have a question... so for a simple function such as \[F(x) = 5-2x\]

Answer 9

since a function like that doen’t Have any bounds or limits... it only has a decreasing interval...so how do i state it’s interval again?

Answer 10

\[(-\infty , \infty)\]

Answer 11

I see now... thanks mate :)

Answer 12

A very quick question... about the interval (-infinite, +infinite). Why’s there a positive infinite in the interval ?? So as x approaches +infinite...that’s going from LHS to RHS, the graph seems to decrease...

Answer 13

That's the domain.
The range goes to negative infinity though

Answer 14

I think i got it. Thanks bro :)