My camera turns off every time i take a picture?

I got a new digital camera about 3 weeks ago, fujifilm finepix ax350, i took it away on holiday and took lots of pictures, then all of a sudden the camera turned off when i went to take a picture. it also flashed battery. The next day i bought some batteries for it and it worked perfectly for about 10 minutes until the same this happened again. I flashed battery again. I maybe wondered if the batteries i bought were dodgy. I then checked the batteries in something else and they worked perfectly. When i got home i tried putting another 2 brand new batteries in and my camera allowed me to take 2 pictures. i connected it to my computer and uploaded all the photo's in case the memory was full. I still had no luck.... can any body help?