Curriculum
Course: Pure Mathematics — Second Secondary
Login

Curriculum

Pure Mathematics — Second Secondary

Unit 1: Real Functions and Curve Sketching

0/8

Unit 2: Exponents and Logarithms

0/12

Unit 3: Limits

0/6

Unit 4: Trigonometry

0/4
Text lesson

The Exponential Function and Its Applications

Pure Mathematics — Second Secondary

The Exponential Function and Its Applications

Lesson summary

Lesson summary

  • The exponential function f(x) = ax has a > 0 and a ≠ 1.
  • If a > 1 the function models growth, and if 0 < a < 1 it models decay.
  • Its graph passes through (0, 1), its range is ]0, ∞[, and the x-axis is a horizontal asymptote.
  • The formulas A = P(1 + r)t and N = N0(1/2)t/T are used for growth and decay problems.
The Exponential Function and Its Applications · 6 / 6