[MAT1320] - Midterm Exam Guide - Ultimate 25 pages long Study Guide!

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1320
• Professor: Kevin Fink

Document Summary

Basic example: f(x)=3x+2 g(y)=2y (f g)(x) = f(g(y)) = f(2y) = 3*(2y)+2 = 6y+2. -> order matters! the bigger the base, the steeper the curve. An inverse function of is such that . Things we know: if i tell you , you know that x=2. We can define the inverse function again only a specific domain and range. One-to-one function: if and only if no horizontal line intersects the graph more than once. Let be a one-to-one function with domain a and range b. Then it"s inverse function has domain b and range a and is defined by: *flipped exponential function graph along y=x diagonal because they"re inverses* Limits picture suggests that as f(x) approaches 0, x --> -1. Intuitive definition of a limit: suppose f(x) is defined when x is near the number a+. Ex no conclusion can be drawn. therefore, the limit does not exist x f(x)