Elementary functions

Parabolas Translation and scaling.

Rational functions 1 Specifically, linear fractional functions \(y = \frac{ax + b}{cx + d}\); try varying the constants \(a , b, c, d \) and observe the effect on the graph, and on the horizontal and vertical asymptotes.

Rational functions 2 Of the form \(y = \frac{ax^2 + bx + c}{dx^2 + gx + f}\); try varying the constants \(a, b, c, d, f, g\).

Simple exponential functions of the form \(y = Ca^x\). Vary the constants \(a, C\) and observe the effect on the graph.

Compound interest \(A = P\left(1 + \frac{r}{m}\right)^{mt}\), with suggestions for varying the constants.

Simple logarithmic functions in base \(a\), along with the option to graph the exponential function \(a^x\).