Calculus I – Lecture 5: Domain & Range from Formulas and Graphs + EvenOdd Functions
Автор: Shadi M. Shaqaqha
Загружено: 2026-02-22
Просмотров: 28
Описание:
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)
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