difference between take, bring, and fetch

bring - (авчрах) to come to a place with someone or something
take - (авч явах, аваачих) [transitive] to carry or move something from one place to another
fetch - (эргүүлж авчрах, очиж авахаар явах) to go to where someone or something is and bring them/it back

Differences Between Bring, Take and Fetch

                  HERE                                                           THERE

Take:           ------->------->------->------->------->

Bring:         <-------<-------<-------<-------<-------

Fetch:          ------->------->------->------->------->

                     <-------<-------<-------<-------<-------

bring - to take something or someone to the place where you are now, or the                  
           place where you are going: have you brought your ticket with you? |
           He asked his father if he could bring a friend to stay

take -  to move something to another place, or help someone go to another  
           place: I took my book with me to read on the train. | He was taken to
           hospital by ambulance.

fetch - (fetch specially BrE ) to go to another place and come back with
           something or someone: i went upstairs to fetch my jacket. | Joseph
           told me to fetch the the doctor, so i ran ti the village        

Difference between bring, take and fetch

Use BRING to express movement towards or with a person that is at the current location.
For example:
Could you bring me that newspaper, please?

Important Note: BRING is often used together with here to indicate a location close to the speaker.

Use TAKE to express movement away from a person to another location. 
For example:
We took our dog with us on vacation.

Important Note: TAKE is often used together with there to indicate a location away from the speaker.

Use FETCH to express the action of going to an object and bringing to back to the current location.
For example:
Here Frankie! Go fetch the Ball!
Could you fetch the paper for me this morning?

Important Note: FETCH is often used as a noun to speak about the game of running and getting a ball or other toy with a dog.