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Classify a relation and state its domain and range

QUESTION TYPEMix of allChange

Question 1 of 8

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The relation \(S\) is represented by the following data

S=\left\{(-6,\;-6),\;(-3,\;-2),\;(0,\;-4),\;(-2,\;0)\right\}

The co-domain is \(\mathbb{R}\)

(a)2 marks

Give the distinct input values and distinct output values as the domain and range

D=\left\{-6,\;-3,\;-2,\;0\right\},\qquad R=\left\{-6,\;-4,\;-2,\;0\right\}

D=\left\{-6,\;-3,\;-2,\;0\right\},\qquad R=\left\{-4,\;-2,\;0\right\}

D=\left\{-6,\;-4,\;-2,\;0\right\},\qquad R=\left\{-6,\;-3,\;-2,\;0\right\}

D=\left\{-3,\;-2,\;0\right\},\qquad R=\left\{-6,\;-4,\;-2,\;0\right\}

(b)2 marks

Choose the statement that correctly tests whether the relation is a function

The relation is not a function because a horizontal line meets the relation more than once

The relation is a function because every input is paired with exactly one output

The relation is not a function because an input is paired with two different outputs

The relation is not a function because an output is paired with two different inputs

Select the correspondence shown by the repeated inputs and outputs

many-to-one: different inputs share an output

many-to-many: inputs and outputs are both repeated

one-to-many: one input has more than one output

one-to-one: no input or output is repeated