Mathematical Methods · Unit 1 · Functions and relations · Graphs of relations

Sketch the graphs of relations, with and without technology.

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Question 1

Consider the relation defined by \( x^2 + y^2 - 4x + 6y - 12 = 0 \). (a) Express the relation in standard form and identify its key geometric features. (2 marks) (b) Determine the coordinates of all intercepts with the coordinate axes, showing algebraic working. (2 marks) (c) State the domain and range of the relation. (1 mark)

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