Exponential Function and its Applications — الرياضيات البحتة الصف الثاني الثانوي لغات

درس «Exponential Function and its Applications» فى مادة الرياضيات البحتة لـالصف الثاني الثانوي لغات من وحدة «Unit 2: Exponents, Logarithms and Their Applications». This lesson introduces the exponential function f(x) = a^x (where a > 0, a != 1), explores its properties, sketches growth and decay curves, and applies exponential models to compound interest, population growth, and radioactive decay. هتتعلم فى الدرس ده: An exponential function has the form f(x) = a^x where base a ∈ R+ - {1}.، Domain is R, range is R+ (]0, ∞[), and the graph passes through the fixed point (0, 1).، If a > 1, f(x) is an increasing function modeling exponential growth.، If 0 < a < 1, f(x) is a decreasing...

الدرس ده من وحدة «Unit 2: Exponents, Logarithms and Their Applications» فى مادة الرياضيات البحتة لـالصف الثاني الثانوي لغات على منصة دروسات.

الدرس متاح بالاشتراك: ترم كامل أو المادة لوحدها.

ملخص الدرس

This lesson introduces the exponential function f(x) = a^x (where a > 0, a != 1), explores its properties, sketches growth and decay curves, and applies exponential models to compound interest, population growth, and radioactive decay.

هتتعلم إيه فى الدرس ده

• An exponential function has the form f(x) = a^x where base a ∈ R+ - {1}.
• Domain is R, range is R+ (]0, ∞[), and the graph passes through the fixed point (0, 1).
• If a > 1, f(x) is an increasing function modeling exponential growth.
• If 0 < a < 1, f(x) is a decreasing function modeling exponential decay.
• Compound interest formula: A = P(1 + r/n)^(nt) where P is principal, r is annual rate, n is compounding periods per year.