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Exponent Function

exponential functions

f(x)=b^x exponential function such that b>0, b is not 1,and x is a real number.base constant.
review of exponents:x^-n=1/x^n (if x not 0),x^1/n= the nth root of x. for more exponent rules see p337-339 book or www.mathsisfun.com/algebra/exponent-laws.html
graph by coming up with ordered pair solutions and plot. hint see back pick at least 4 points & not all of them close to 0 to get proper curvature of graph.
properties of f(x)=b^x b>0, b not 1:one-to- one function, y-intercept (0,1), cont'd no x intercept,domain: (-infinity,infinity),range (0,infinity)
graphs showing increase and decrease see page 724 course book. cont'd other graph examples see,www.purplemath.com/modules/graphexp3.htm
A=P(1+r/n)^nt Compound Interest Formula P-amt loan,r-rate interest,n-# of times interst compounded ea yr,t-duration of loan
radioactive decay (in chapter 12 formula is provided) ex. y=30(27)^-0.004t 30 is amt in pounds & t-time,duration,y-how much in pounds will remain after t days.pg.726
uniqueness of b^x let b>0 & b not 1.Then b^x=b^y is equivalent to x=y
Created by: walkerd