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Functions and graphs

Build and connect the representations and methods in functions and graphs.

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  • 2 lessons
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Before you begin

Build and connect the representations and methods in functions and graphs.

Learning goals
  • Read and plot ordered coordinate pairs
  • Interpret and draw graphs of functions
  • Find and interpret a graph gradient
Syllabus statements covered
  • Cartesian coordinates in two dimensions • graph of a set of ordered pairs as a representation of a relationship between two variables • linear functions (y = ax + b) and quadratic functions (y = ax² + bx + c) • graphs of linear functions • the gradient of a linear graph as the ratio of the vertical change to the horizontal change (positive and negative gradients) • graphs of quadratic functions and their properties ∗ positive or negative coefficient of x^2 ∗ maximum and minimum points ∗ symmetry
  • Cartesian coordinates in two dimensions
  • graph of a set of ordered pairs as a representation of a relationship between two variables
  • linear functions (y = ax + b)
  • graphs of linear functions
  • the gradient of a linear graph as the ratio of the vertical change to the horizontal change (positive and negative gradients)
  • quadratic functions (y = ax^2 + bx + c) <Sec 4>
  • graphs of quadratic functions and their properties <Sec 4> • positive or negative coefficient of x^2 • maximum and minimum points • symmetry

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