Grasp the idea that a function maps every element of one set onto a unique element of another set, and that this relationship can be represented as y = f(x) on a graph. Learn how to use function notation, evaluate functions, and interpret these statements contextually.

Sequences are functions, sometimes recursively formed, with a integer subset. For instance, the Fibonacci sequence is defined recursively. Know how to interpret graphs and tables of functions modelling the relationship between two quantities, including key features such as intercepts, intervals, maximums and minimums, symmetries, and periodicity.

Know how to connect a function's set of possible inputs to its graph and the quantitative relationship it represents. Learn how to calculate and interpret a function's average rate of change over a given interval, including estimates from graphs. You should be proficient in graphing linear, quadratic, square root, cube root, piecewise, polynomial, rational, exponential, logarithmic, and trigonometric functions, identifying key aspects like zeros, maxima, minima, and asymptotes.

Master how to use factoring and completing the square in quadratic functions to elucidate zeros, extreme values, and symmetry, and then interprets