Functions and relations skills
Year 10
Tests
Skills
Year 11
Tests
Functions and relations: Find the domain and range of functions and relationsPremium- Functions and relations: Domains, ranges, symmetry and graphs of polynomial functionsPremium
Skills
- Domain and range of set relations
- Level 1: Domain and range of polynomial relations
- Level 2: Domain and range of polynomial relations
- Level 1: Domain and range of polynomial functions
- Level 2: Domain and range of polynomial functions
- Level 1: Domain and range of rational functions
- Level 2: Domain and range of rational functions
- Level 3: Domain and range of rational functions
- Level 4: Domain and range of rational functions
- Level 1: Domain and range of square root functions
- Level 2: Domain and range of square root functions
- Domain of an inverse function
- Range of an inverse function
- Composite functions
- Inverse functions
- Sketch inverse functions
- Level 1: Solving inverse function equations
- Level 2: Solving inverse function equations
- Level 3: Solving inverse function equations
- Level 4: Solving inverse function equations
- Function continuity
- Relation type
- Definition of functions
- Even and odd polynomial functions
- Sketching polynomial functions
- Sketching the cubic function
- The cubic function of the form f(x)=a(x-h)3+k
- Piecewise-defined functions
- Intersection of two graphs
- Function transformation by translation
- Function transformation by dilation and reflection
- Combination of transformation
- Matrix transformations
- Identifying transformed polynomials
Year 12
Tests
Skills
- Function transformations
- Composite functions
- Level 1: Composite functions
- Domain and range of composite functions
- Level 1: Composite function equations
- Level 2: Composite function equations
- Level 2: Composite functions
- Level 1: Continuity and discontinuity of functions
- Level 2: Continuity and discontinuity of functions
- Sketching polynomial functions
- Identifying transformed polynomials
- Sketching power functions
- Sketching sum, different and product of two functions
- Intersection of two graphs
- Absolute value function
- Level 1: Restricting a function to make it one-to-one
- Domain of an inverse function
- Range of an inverse function
- Level 2: Restricting a function to make it one-to-one
- Level 2: Solving inverse function equations
- Level 3: Solving inverse function equations
- Level 4: Solving inverse function equations
- Level 1: Transformations of functions
- Level 2: Transformations of functions
- Level 3: Transformations of functions