MATH 265 Study Guide - Midterm Guide: Power Rule, Sept, Chain Rule

• School: University of Calgary
• Department: Mathematics
• Course: MATH 265
• Professor: Michael Cavers

Document Summary

The vertical line test: no 2 pts on one line. Domain restrictions: cant even root negatives, cant divide by 0, can"t take log of negatives or 0, can"t ln(1) Even / odd functions f(-x) = f(x) even (two ends up) f(-x)= -f(x) odd. Composition (f g) (x) = f(g(x)) Do(cid:373)ai(cid:374): { (cid:454) do(cid:373)ai(cid:374)(cid:894)g(cid:895): g(cid:894)(cid:454)(cid:895) do(cid:373)ai(cid:374) (cid:894)f(cid:895)} When does a function have an inverse: horizontal line test. Inverse function domain and range: examples of trig over range, example - solving inverse with our trig functions. Example - solving inverse with our trig functions (continued) Example of graphical multi limits: homework reading. Why can you simplify: piecewise function, limit of absolute value. Solve by rationalize ( x by the conjugate) X become infinity as close to a value: reciprocal of small positive is large positive. Nonzero over zero = + , - , or dne. Example of (0/0) =>factor and (nonzero/0) =>number line type.