Methods1 relations and functions
- 1. Maths Methods Relations and Functions REVISION
- 2. Relations and Functions Relation: a listed set of ordered pairs, a graph or a rule with specified or implied domains Domain: set of all x-values Range: set of all y-values
- 3. Relations and functions Four types of relations One-to-one: one x-value to one y-value Many-to-one: more than one x-value is mapped to the same y-value One-to-many: one x-value is mapped to more than one y-value Many-to-many: more than one x-value is mapped to more than one y-value
- 4. Relations and functions Function: A many-to-one relation. The graph cannot be crossed more than once by a vertical line drawn anywhere on the graph.
- 5. Relations and functions Two types of functions: One-to-one: Graph can be crossed only once by any vertical or horizontal line Many-to-one: Graph can be crossed only once by a vertical line. The domain of many-to-one functions can be restricted to make one-to-one functions.
- 6. Relations and functions Inverse function is the reflection of a one-to-one function in the line y=x A function has an inverse function if it is a one-to-one function The original function and its inverse intersect on the line y=x
- 7. Relations and functions Resources Video: 283_one-to-one functions Worksheet: Functions