An example of x in every day life is simple interest. The graph of this function easily shows how the price would increase with the interest being added. The longer your paying for something the more interest you will end up paying.
http://www.google.com/images?client=safari&rls=en&q=simple+interest&oe=UTF-8&safe=active&um=1&ie=UTF-8&source=og&sa=N&hl=en&tab=wi&biw=1145&bih=595
http://www.google.com/imgres?imgurl=http://moneytipcentral.com/wp-content/uploads/2008/06/simple-interest-graph.jpg&imgrefurl=http://moneytipcentral.com/what-is-compound-interest&usg=__ihRc_DerzQSl0VAySZorVXFuQOA=&h=500&w=500&sz=28&hl=en&start=0&sig2=a939SKeMJPr-HrqdAS0ZXg&zoom=1&tbnid=WEyNQU1TSWbQOM:&tbnh=147&tbnw=150&ei=_7yPTICtNqi1nAf4zOzBDA&prev=/images%3Fq%3Dsimple%2Binterest%26um%3D1%26hl%3Den%26safe%3Dactive%26client%3Dsafari%26sa%3DN%26rls%3Den%26biw%3D1145%26bih%3D595%26tbs%3Disch:1&um=1&itbs=1&iact=hc&vpx=131&vpy=225&dur=2254&hovh=225&hovw=225&tx=126&ty=151&oei=_7yPTICtNqi1nAf4zOzBDA&esq=1&page=1&ndsp=15&ved=1t:429,r:5,s:0
e^x: An example of e raised to the x in every day life is compound interest. Compound interest is like simple interest. Generally you use it when taking out a loan or paying something off. The graph of a compound interest is different though. It isn't just a straight line, it curves. This curve happens because compound interest is paid on the original amount and the accumulated past interest.
http://math.about.com/library/weekly/aa042002a.htm
http://www.google.com/imgres?imgurl=http://www.tvmcalcs.com/calc_images/formulas/Simple-vs-Compound-Interest.png&imgrefurl=http://www.tvmcalcs.com/tvm/lumpsums_fv&usg=__X8yOSG3aEC_sq1aY-obfLkML02Q=&h=347&w=493&sz=8&hl=en&start=0&sig2=tSRNx8LtkmIXEZAy_-GcnQ&zoom=1&tbnid=ndHSb-oOGXe9xM:&tbnh=108&tbnw=153&ei=ar6PTODwEciRnwe9nOCzDA&prev=/images%3Fq%3Dcompound%2Binterest%26um%3D1%26hl%3Den%26safe%3Dactive%26client%3Dsafari%26sa%3DN%26rls%3Den%26biw%3D1145%26bih%3D595%26tbs%3Disch:1&um=1&itbs=1&iact=rc&dur=383&oei=ar6PTODwEciRnwe9nOCzDA&esq=1&page=1&ndsp=18&ved=1t:429,r:3,s:0&tx=46&ty=76
y=the square root of x: A real life example of the square root of x is showing the difference between cost, revenue, and profit. So if a company is making something it costs so much to produce the product. But after the product is made then revenue costs also take effect. Hopefully the product that the company is making has a higher rate of profit then it did total cost.
www.snhu.edu/LCApplicationsofLinearFunctionsCostProfitRevenueHandout. doc
http://www.google.com/imgres?imgurl=http://www.college-cram.com/study/students/files/2010/03/Total-Revenue-and-Costs-War-Game-Inc.jpg&imgrefurl=http://www.college-cram.com/study/students/pecosjack/calculate-maximizing-profit-by-charting-demand-curve-revenue-and-costs/&usg=__oEXGC5XU0iIFXqPQr8ULFbSuD_o=&h=396&w=577&sz=31&hl=en&start=0&sig2=5-4kUt6u3FY2bE1qtW0_OA&zoom=1&tbnid=2DuaxxC-8JKj0M:&tbnh=122&tbnw=178&ei=vsGPTLPFG-SQnwejm-H2DA&prev=/images%3Fq%3Dcost%2Brevenue%2Band%2Bprofit%2Bgraphs%26um%3D1%26hl%3Den%26safe%3Dactive%26client%3Dsafari%26sa%3DN%26rls%3Den%26biw%3D1145%26bih%3D595%26tbs%3Disch:1&um=1&itbs=1&iact=hc&vpx=501&vpy=86&dur=1321&hovh=186&hovw=271&tx=152&ty=96&oei=o8GPTMKwKZLonQe1l5jlDA&esq=5&page=1&ndsp=15&ved=1t:429,r:2,s:0
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