Classify a relation and state its domain and range practice questions | Mathematical Methods (Year 11, VCE Units 1 & 2, Functions and relations, Function notation and relations)

(a)2 marks

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

D=\left\{-4,\;-1,\;0,\;2\right\},\qquad R=\left\{0,\;1,\;2,\;4\right\}

D=\left\{1,\;2,\;4\right\},\qquad R=\left\{-4,\;-1,\;0,\;2\right\}

D=\left\{0,\;1,\;2,\;4\right\},\qquad R=\left\{-4,\;-1,\;0,\;2\right\}

D=\left\{0,\;1,\;2,\;4\right\},\qquad R=\left\{-1,\;0,\;2\right\}

(b)2 marks

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

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

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

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

(c)1 mark

Select the correspondence shown by the repeated inputs and outputs

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

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

many-to-one: different inputs share an output

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