HL AA – Functions
Function notation
Graphs of functions
Transformations
Inequalities
Odd and Even
Inverse functions
Reciprocals
1 over f(x)
Sums and Roots 1
Factor theorem
Function review
Composite functions
Graphical solutions
Modulus functions
Sums and roots 2
Remainder theorem
Traffic Light Coding for Unit
Make your own copy and share with your students.
Learning outcomes
| Understanding the concept of a function. |
| Substitute and solve equations using algebra. |
| Understand the terms domain and range. |
| Find the inverse of a function |
| Understand the terms one-to-one; many-to-one; one-to-many and their applications to functions and inverses. |
| Graph functions with and without a GDC. Note key points on graphs (intersection with axes, maximum and minimum). |
| Understand and use composite functions. |
| Substitute and solve equations using graphs, including composite functions. |
| Using reciprocal graphs, including finding asymptotes from functions with and without sketches. |
| Solve intersection of functions using a GDC. |
| Transformation of functions: reflections in x and y axes; reflection in y=x line; translations; vertical and horizontal stretches. |
| Using the inverse function and the reflection to solve equations. |
| Odd and even functions |
| Sum and roots of a quadratic equation (alpha and beta values). |
| Sum and roots of all polynomial functions, where order is greater than 2. |
| Inequalities of functions and their graphs. |
| The reciprocal of a function and its graph. |
| The modulus of a function and its graph. |
| Factor theorem of polynomials. |
| Remainder theorem of polynomials. |