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.