P1.1.11 - Graphs of functions

Graphs of functions; sketching Functions to include simple cubic functions and the curves defined by simple equations. reciprocal functions Geometrical interpretation of k k algebraic solution of equations.; Use y = and y = with x ≠ 0. of intersection points of graphs of x x2 functions to solve equations.; Knowledge of the term asymptote is expected.; Also, trigonometric graphs.

Use graphs of functions to connect the rule to the data and decision in the question.

This matters because graphs of functions determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply graphs of functions to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Graphs of functions is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.