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The document discusses logarithmic functions and their relationship to exponential functions. Specifically, it notes that logarithmic functions are the inverse of exponential functions. It also outlines some key characteristics of logarithmic functions, such as their domain being x > 0 and range being (-∞, ∞), with an asymptote of x = 0. The document provides sketches of common logarithmic function graphs such as f(x) = logb(x), f(x) = -logb(x), and f(x) = logb(c).
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- 1. The Logarithmic Function log are the same However a log function is the inverse of an exponential
- 2. How to get the log function formula from y = 2 Switch x with y ii) Rewrite as y=... Log function = is the inverse of an exp. function
- 3. Characteristics of Exponential Function Log Function Domain: (- , ) Domain: x > 0 Range: y > 0 Range: (- , ) Asymptote: y = 0 Asymptote: x = 0
- 4. Sketch Graphs f(x) = log f(x) = log
- 5. f(x) = - log f(x) = log