Mathematics

Problem

Consider the following four relations between

x

and

y

: (a)

x^{2}+y^{2}=9

, (b)

y=\sqrt{x+3}

, (c)

x=|y|

, (d)

y=2

. a. (i) For each relation, state whether its graph represents

y

as a function of

x

. Give a brief justification in each case. b. (ii) For every relation that IS a function, state its domain and its range. c. (iii) Sketch the graphs of all the relations that are functions on one set of axes, clearly indicating intercepts and any end-points.

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