# MATH 1P97 Study Guide - Midterm Guide: Differentiable Function, Constant Function, Farad

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###### MATH 1P97 Full Course Notes

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## Document Summary

Determining the domain of a function y=f(x) x = independent variable y= dependent variable: find what restrictions, if any are to be placed on the independent variable x, division by zero is not permitted; the root of a negative number is not real. ( infinity, 2),( 2,2),(2,infinity) Sum, difference, product & quotient of functions (f+g)(x) = f(x)+g(x) sum (f g)(x) = f(x) g(x)difference (fg)(x) = f(x)g(x) product ( f g. G( x) = x2 +1 x2 - 1. = 4( x +2) =16 x - 2 x - 2 lim x- >2. The function f has the right hand limit l as x approaches a from the right, written lim f ( x) = l x- >a+ Similarly the function has the left hand limit m as x approaches a from the left written lim f ( x) = m x- >a.