Question

Confusing Question: With the given information sketch the graph Confusing Question: With the given information sketch the graph @Mathematics

Answer 1

Thanks

Answer 2

Assume that the function is defined and continous for all points on the domain

Answer 3

yeah i am not sure what this is saying. is it saying that the first derivative is positive then negative?

Answer 4

ok i will explain

Answer 5

It is firstly saying that at x1 and x2 the first derivative is equal to zero

Answer 6

ok i think i get it. it looks like at x2 the first derivative goes from being negative to positive. that means your function has a local minimum there. function was decreasing, then increasing

Answer 7

The function is increasing until it reaches x1 at x1 it begins to decrease until x2 and at x2 it bebegins increasing again

Answer 8

but notice that at x1 it is undefined

Answer 9

yes, and the derivative changes sign there, so it could look like this

Answer 10

i think that may be wrong

Answer 11

notice in the picture i drew the first derivative goes from being positive to negative but is undefined the corner. also the second derivative is positive always except at the corner, where it does not exist

Answer 12

because look at the second derivative it is concave up b4 and after x1

Answer 13

yes it could be wrong, but it fits with the information you are given

Answer 14

the picture i drew is concave up on both sides

Answer 15

and at x2 the first derivative is equal to zero

Answer 16

oh sorry i was just drawing around x1

Answer 17

but I think i can just add a litlle curve

Answer 18

and it will be fine

Answer 19

to show how the first derivative could be positive and then negative, but undefined at the point. i will draw more

Answer 20

Thanks satellit you are the best!!! ;D

Answer 21

yw