Can you draw pictures with graphs?
Model real life situations by translating them into algebraic equations and by using graphs.
Find approximate solutions of simultaneous linear equations using graphs. For example
y = 5x - 7
3x + 2y = 1
Plot families of exponential and reciprocal graphs. For example
y = 2^{x}, y = 3^{x}, y = 4^{x} ...
y = 1÷x, y = 2÷x, y = 3÷x, ...
Reduce a given linear equation in two variables to the standard form y = mx + c; calculate gradients and intercepts of the graphs and then plot them to check.
Solve problems involving direct and inverse proportion using graphical representations.
Identify and interpret roots, intercepts and turning points of quadratic functions graphically.
Find the equations of the translations and reflections of graphs of given functions.
Use graphs to solve optimisation problems.
Investigate the absolute value function. Plot families of graphs and describe their characteristics. For example
y = |x^{2} - 5|
Graph inequalities to solve linear programming problems.
Plot the graphs of functions and their inverses by interchanging the roles of x and y. Find the relationship between the graph of a function and its inverse. Which functions inverses are also functions?