A function and its graph

• Resources Structure
• Key Stage 4
• Mathematics
• XV. Graphs of different functions
• 87. A function and its graph

• Exam Specifications
• Key Stage 4
• AQA GCSE Mathematics A (4301)
• I. Number and algebra
• Sequences, functions and graphs
• Graphs of linear functions
• use the conventions for coordinates in the plane; recognise that equations of the form y = mx + c correspond to straight-line graphs in the coordinate plane; plot graphs of functions in which y is given explicitly in terms of x, or implicitly
• construct linear functions from real-life problems and plot their graphs; discuss and interpret graphs modelling real situations; draw line of best fit through a set of linearly related points and find its equation
• use conventions for coordinates in the plane; recognise that equations of the form y = mx + c correspond to straight-line graphs in the coordinate plane; plot graphs of functions in which y is given explicitly in terms of x, or implicitly
• find the gradients of lines given by equations of the form y = mx + c (when values are given for m and c); understand that m is the gradient of the line and c is the value of the y intercept; explore the gradients of parallel and perpendicular lines
• Interpret graphical information
• interpret information presented in a range of linear and non-linear graphs
• construct linear functions and plot the corresponding graphs arising from real-life problems; discuss and interpret graphs modelling real situations
• Other functions
• generate points and plot graphs of quadratic functions; find approximate solutions of a quadratic equation from the graph of the corresponding quadratic function; find the intersection points of the graphs of a linear and quadratic function

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