f x 1 2 x 4 f x 2x 2 4 1 f x 1 2 x 14 f x 4 x 4 f x x f x x 3 4 3 4 y x

Weird R Graphs of functions in R² are curves Set of infinite points {(x,y) such that y=f(x) Graphs of functions in R³ are surfaces z=f(x,y) {(x,y) such that z=f(x,y) Test 1 Review Log, hn- solving, inverses, evaluating average velocity Rational fins- holes vs VA domains of f*g Sign analysis Solve 1. find roots of all factors Sign chart Graph (-3,0]U{2} Or find roots, and use graphing to solve Logs (evaluating) logb(x) is defined as the inverse function of b^x ln(x)=loge(x) e=2.71828ish E in mma Log[] in mma is natural log log base ten is Log[10,x] just use log log3(1/81) = -4 ln(1)=0 log2(256) = 8 ln(e)=1 ln(e)=1 Logs (solving) ln(ln(x)=-1.4 e^(ln(ln(x)))=e^-1.4 ln(x)=e^-1.4 e^(ln(x))=e^e^-1.4 x=e^e^-1.