Rev. S08 http://faculty.valenciacc.edu/ashaw/COLLEGE ALGEBRA NAME: ________________________________ GPS # 273.2 LOGARITHMIC FUNCTIONS IClass Time: ____________ Date: __________Useful Guidelines:* The logarithmic function to the base a,where 0>aand 1!a: y=loga(x)if and only ifyax=; * Properties of the logarithmic Functiony=loga(x)(where 0>aand 1!a): (1) Domain: the interval),0(!; Range: the interval),(!"!; (2) x-intercepts: 1; y-intercept: none; (3) Vertical asymptote:0=x; (4)f(x)=loga(x),a>1, is an increasing, one-to-one, smooth and continuous function; f(x)=loga(x),0<a<1, is a decreasing, one-to-one, smooth and continuous function; (5) The points ),1,(),0,1(aand )1,(1!aare always on the graph of f. * Natural logarithmic function:
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