Relations and Functions
Domain and range; identify functions; vertical line test; evaluate f(x); function tables; rate of change from tables/graphs; increasing/decreasing; transformations.
12 worksheetsRead the explainer →
- 1Relations: Tables, Graphs, MappingsConvert between representations of relations; ordered pairs.adaptive
- 2Domain and RangeFind domain and range from graphs, tables and equations; interval notation.adaptive
- 3Identify FunctionsDetermine if a relation is a function; each input has exactly one output.adaptive
- 4Vertical Line TestUse vertical line test to identify functions from graphs.adaptive
- 5Evaluate f(x)Evaluate functions using f(x) notation; substitute and simplify.adaptive
- 6Evaluate f(x+h) and ExpressionsEvaluate f at expressions; e.g. f(2x), f(x+1), f(x+h).adaptive
- 7Function Tables from EquationsComplete input-output tables for linear and quadratic functions.adaptive
- 8Interpret Function GraphsIdentify key features: intercepts, increasing/decreasing, maximum/minimum.adaptive
- 9Rate of Change from TablesCalculate average rate of change between two points from a table.adaptive
- 10Average Rate of ChangeFind average rate of change over an interval [a,b]; (f(b)-f(a))/(b-a).adaptive
- 11Increasing and Decreasing FunctionsIdentify intervals where a function is increasing, decreasing or constant.adaptive
- 12Transformations of FunctionsVertical shifts f(x)+k; vertical stretches af(x); reflections -f(x).adaptive