Algebraic fractional function and its domain — الرياضيات الصف الثالث الإعدادي لغات

درس «Algebraic fractional function and its domain» فى مادة الرياضيات لـالصف الثالث الإعدادي لغات من وحدة «Algebraic fractional function and the operation on them». This lesson defines the algebraic fractional function and introduces the concept of its domain. An algebraic fraction is a ratio of two polynomial functions, n(x) = p(x)/f(x), where f(x) ≠ 0. The domain of an algebraic fraction is the set of all real numbers except the values that make the denominator zero (the zeroes of the denominator). The lesson uses the example n(x) = (x + 3)/(x² - 4) to show that the domain is R - {-2, 2}. Students then learn to find the domain of various algebraic fractions and to determine the common...

الدرس ده من وحدة «Algebraic fractional function and the operation on them» فى مادة الرياضيات لـالصف الثالث الإعدادي لغات على منصة دروسات.

الدرس متاح بالاشتراك: ترم كامل أو المادة لوحدها.

ملخص الدرس

This lesson defines the algebraic fractional function and introduces the concept of its domain. An algebraic fraction is a ratio of two polynomial functions, n(x) = p(x)/f(x), where f(x) ≠ 0. The domain of an algebraic fraction is the set of all real numbers except the values that make the denominator zero (the zeroes of the denominator). The lesson uses the example n(x) = (x + 3)/(x² - 4) to show that the domain is R - {-2, 2}. Students then learn to find the domain of various algebraic fractions and to determine the common domain of multiple fractions, which is the intersection of their individual domains (R minus the union of all zeroes of their denominators).

هتتعلم إيه فى الدرس ده

• Definition of an algebraic fractional function
• Domain of an algebraic fraction: R minus the zeroes of the denominator
• Finding the domain of various algebraic fractions
• Evaluating algebraic fractions at given points
• The common domain of two or more algebraic fractions
• The common domain as R minus the union of zeroes of denominators
• Application problems involving domain calculations