MATH 121 Study Guide - Final Guide: Mean Value Theorem, Vise, Derivative Test

• School: Queen's University
• Department: Mathematics
• Course: MATH 121
• Professor: Alan Ableson

Document Summary

Used for a line thru the point (x1, y1) If you draw line anywhere straight down a function and it intersects at more then one point it is not a function, thus domain and range dne. Evaluating f(a) where a is any integer or function y-y1=m(x-x1: simply sub a into the given function where x is located then expand and simplify as much as possible. -------------0--------------5-------- f(-2)=0. 27 f(1)=dne f(6)=0. 63: verbally, numerically, visually, algebraically. Interval notation: [ means including the integer, ( means excluding that integer, ex (-infinity,0) u (0,1) u (1,infinity) meaning all x values except 0 and 1 are allowed. Expressing a problem in terms of one variable: use the given number ex 9m3 and its corresponding equation to solve for one variable, then sub this into the equation required in terms of one variable and simplify. Domain of piecewise function: the domain is all real numbers if the function is defined at every point.