CXC CSEC Mathematics
Relations, Functions and Graphs 1
Module 2: Intermediate Secondary Level Mathematics
Relations, Functions and Graphs 1
Relations and functions, function notation, composite and inverse functions, gradient and the equation of a straight line, parallel and perpendicular lines, length and midpoint, solving equations graphically, and quadratic graphs.
24 lessons
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Lessons
- 1.Concept of a Relation: Domain, Range and ImageFree
- 2.Representing Relations
- 3.What Defines a Function
- 4.Vertical Line Test
- 5.Functional Notation
- 6.The Gradient of a Straight Line
- 7.Finding the Equation of a Straight Line
- 8.Parallel Lines
- 9.Perpendicular Lines
- 10.Length and Midpoint of a Line Segment
- 11.Solving Linear Systems Graphically
- 12.Composite Functions
- 13.Function Machines (Flowcharts)
- 14.The Inverse of a Function
- 15.Evaluating Composites and Inverses
- 16.Solving an Equation Using the Inverse
- 17.The Graph of a Function and Its Inverse
- 18.Drawing a Quadratic Graph
- 19.Reading a Quadratic Graph
- 20.Gradient at a Point and Intervals
- 21.Axis of Symmetry and Max or Min from a(x + h)² + k
- 22.Sketching and the Number of Roots
- 23.Interpolation and Extrapolation
- 24.Problems with Linear and Nonlinear Graphs