Can I use Internet on my iphone in Mexico with no Wi-Fi?

I'm going to Mexico July 31st- August 16th to visit family which happen to live in a small town Pratically in the middle of nowhere. I stay at a house in another town.
Anyways I have Verizon as my carrier for my iphone 5 and I don't know if Verizon is as established there as here that last time I went I didn't have a smart phone but I searched through the Internet and I just can't fine an answer I even tried Verizon's website and it's about only calls and texts.
Can I simply just use the Internet when there's no Wi-Fi? The place I'm staying at has Wi-Fi but when I go to other towns or areas they're usually 3 hours apart. No hotspots or anything.
Do I have to possibly use one of the mexican carriers for Internet with no Wi-Fi?
I know all about the roaming and all.

You may have low service and if you do have service. It's more expensive when out of the USA.

You couldn't find it on their website? I did.

http://www.verizonwireless.com/...icing.html

I just heard from my best friend, who is staying in a very fine resort in Mexico. If the Company you're dealing with, in your case Verizon, does not have a company there you can't use it.
She called from a public phone using a pay card. Yes, her Hotel has Wi-Fi but her notebook doesn't work either. Very complicated but that's Mexico, Lol.

Man I live in Mexico and I also live in the USA and any phone from the US works fine in mexico it's not like if mexico was from mars. The only thing that will happen is that not in every place you will have internet access and if you do use the internet or call or send a MSG the company will charge you more… When your in Mexico your Verizon company will change to a mexican one.like
TELCEL, USACELL, MOVISTAR, NEXTEL or something like that but the only problem is they will charge you more.

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