1 of 8 0-day streak

Form and analyse an inverse relation or function

Question 1 of 8

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The relation \(R\) is given by the following ordered pairs

R=\left\{(-1,-5),\;(0,-5),\;(1,-1)\right\}

Its stated co-domain is \(\mathbb{R}\)

(a)6 marks

Use the relation between the function and its inverse to give the new rule

Enter the coordinates of each supplied key point after reflection in \(y=x\)

x-coordinate of swapped point 1 y-coordinate of swapped point 1 x-coordinate of swapped point 2 y-coordinate of swapped point 2 x-coordinate of swapped point 3 y-coordinate of swapped point 3

(b)1 mark

Is the inverse relation a function?

No. An input of the swapped relation has more than one output

Yes. Each input of the swapped relation has exactly one output

Choose the domain and range of the inverse mapping

\operatorname{dom}=\left\{-5,\;-1\right\}\qquad\operatorname{ran}=\left\{-5,\;-1\right\}

\operatorname{dom}=\left\{-1,\;0,\;1\right\}\qquad\operatorname{ran}=\left\{-5,\;-1\right\}

\operatorname{dom}=\left\{-5,\;-1\right\}\qquad\operatorname{ran}=\left\{-1,\;0,\;1\right\}