MAT 1300 Lecture Notes - Lecture 3: Logarithm, Asymptote

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1300
• Professor: Hung-Chang Liao

Document Summary

1 xa . xb = xa + xb. 2 (xa)b =( xa . xa . xa . xa ) b times = xab these laws extend to real numbers a,b. Note : x-a . xa = x0 =1. Note: (xy)2 = xy xy= x2y2 (x/y)a = xa/ya. An exponential function has the form f(x)= abx (b>0) An exponential function has the form f(x)= ab (b>0) In both cases y=0 is a horizontal asymptote. Domain of bx is (- infinity, + infinity) Bx > for any value of x. Let f be a function , we say a function g is the inverse of f if. The inverse of f is 1/x2 while g is x1/2. Say g is the inverse of f : Domain of g = range of f range of g = domain of f the graph of g is the reflection of f along the line x=y.