B.3 Exponential, Logarithmic, and Solving

Sketching exponential functions f(x) = a^x and f(x) = e^x and their logarithmic inverses log_a x and ln x; identifying domain, range, and asymptotes; solving f(x) = g(x) graphically (with technology) and analytically (algebraic manipulation); applying these techniques to real-life modelling — population growth, compound interest, radioactive decay.