Question: what are the key characteristics of a basic logarithmic function?
Answer: one-to-one function. vertical asymptote: x = 0. domain: (0,∞) ( 0 , ∞ ) range: (−∞,∞) ( − ∞ , ∞ ) x-intercept: (1,0) and key point (b,1) ( b , 1 ) y-intercept: none. increasing if b>1. b > 1. decreasing if 0 < b < 1.