Will my cell phone clock switch automatically?

Will the time on my cell phone switch automatically? I'm going to be moving out of L.A. to Dallas-Fort Worth, TX soon so I'm going to be traveling from the Pacific Time Zone to the Central Time Zone. I looked on www.virginmobile.com and it says it has data and voice coverage there. Does that mean my cell... show more Will the time on my cell phone switch automatically? I'm going to be moving out of L.A. to Dallas-Fort Worth, TX soon so I'm going to be traveling from the Pacific Time Zone to the Central Time Zone. I looked on www.virginmobile.com and it says it has data and voice coverage there. Does that mean my cell phone time switch automatically?
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