MATH114 Study Guide - Midterm Guide: Hypotenuse, Empty Set, Squeeze Theorem

• School: University of Alberta
• Department: Mathematics
• Course: MATH114
• Professor: All

Document Summary

Differentiation formulas the product and quotient rules. Function: a function is an equation that has only 1 answer for y for every x. commonly called f(x) or g(x) instead of y. Example: f(x) = is a root function. This is a function because the vertical lines only cross once vertical line test. Example: f(x) = x2 + 1, x < 1. Even function: graphs that have symmetry in the y-axis. Odd function: graphs that have symmetry about the origin. Even: changing x to x does not change the value of y. Odd: changing x to x changes the value of y. = x2 18 x2 18 = x2 18 f(x) = x3 3x f(-x) = (-x)3 -3(-x) f(-x) = -x3 + 3x. To determine even or odd symmetry: replace f(x) with f(-x) and simplify, compare results of both values, determine if even, odd, or neither: