Calculus I – Lecture 5: Domain & Range from Formulas and Graphs + EvenOdd Functions скачать в хорошем качестве

Calculus I – Lecture 5: Domain & Range from Formulas and Graphs + EvenOdd Functions

In this lecture, we study how to determine the domain of a function from its formula and how to determine the range from its graph. We also introduce even and odd functions and analyze their algebraic and graphical properties. Topics covered: Domain restrictions (denominators, square roots, logarithms) Domain of composite expressions Determining range from graphs Even and odd functions Symmetry with respect to the y-axis and the origin Students are encouraged to write along and pause the video when needed. Instructor: Prof. Shadi Shaqaqha Department of Mathematics – Yarmouk University شرح المجال والمدى من الصيغة والرسم، مع دراسة الدوال الزوجية والفردية. 00:00 Introduction – Domain of Functions 01:23 Common Restrictions (Denominator, Roots, Logs) 02:07 Domain Examples (5.1 – 5.4) 04:13 Domain with Combined Restrictions (5.5 – 5.6) 06:08 Range from Graphs 09:28 Even and Odd Functions – Definition 10:45 Power Functions & Symmetry 12:01 Examples (Odd, Even, Neither) 17:22 Rational Example g(x) = 1/(1+x^4)